cos^cos(y)(x - y) = 2^(i/(2 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s y^(-2 s) Γ(s))/Γ(1/2 - s) ds) π^(i/(4 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (

Asiangymmax

Asiangymmax

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cos^cos(y)(x - y) = 2^(i/(2 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s y^(-2 s) Γ(s))/Γ(1/2 - s) ds) π^(i/(4 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s y^(-2 s) Γ(s))/Γ(1/2 - s) ds) (-i integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x - y)^(-2 s) Γ(s))/Γ(1/2 - s) ds)^(-i/(2 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s y^(-2 s) Γ(s))/Γ(1/2 - s) ds) for (0<γ<1/2 and x>y and y>0)
 
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Asiangymmax said:
cos^cos(y)(x - y) = 2^(i/(2 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s y^(-2 s) Γ(s))/Γ(1/2 - s) ds) π^(i/(4 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s y^(-2 s) Γ(s))/Γ(1/2 - s) ds) (-i integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x - y)^(-2 s) Γ(s))/Γ(1/2 - s) ds)^(-i/(2 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s y^(-2 s) Γ(s))/Γ(1/2 - s) ds) for (0<γ<1/2 and x>y and y>0)
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i = √-1
 
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Interesting
 
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this dosent mean anything
 
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william. said:
this dosent mean anything
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Images
 
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cos^cos^sin(y)(y)(y) + x cos^(sin(y) + cos^sin(y)(y) - 1)(y) (sin(y) + cos^2(y) log^2(cos(y))) + 1/2 x^2 cos^cos^sin(y)(y)(y) ((sin(y) cos^(sin(y) - 1)(y) + log^2(cos(y)) cos^(sin(y) + 1)(y))^2 + 2 (sin(y) log(cos(y)) cos^sin(y)(y) + 1/2 (-tan^2(y) - 1) cos^sin(y)(y) + 1/2 log^2(cos(y)) cos^sin(y)(y) (cos^2(y) log(cos(y)) - sin(y)))) + 1/6 x^3 cos^(cos^sin(y)(y) - 3)(y) (2 sin^3(y) cos^sin(y)(y) + 2 sin(y) cos^(sin(y) + 2)(y) - 3 sin(y) cos^(2 sin(y) + 2)(y) + sin^3(y) cos^(3 sin(y))(y) - 3 sin^3(y) cos^(2 sin(y))(y) + log^6(cos(y)) cos^(3 sin(y) + 6)(y) + 3 log^5(cos(y)) cos^(2 sin(y) + 6)(y) + log^4(cos(y)) cos^(sin(y) + 6)(y) - 3 sin(y) log^4(cos(y)) cos^(2 sin(y) + 4)(y) + 3 sin(y) log^4(cos(y)) cos^(3 sin(y) + 4)(y) - 3 sin(y) log^3(cos(y)) cos^(sin(y) + 4)(y) + 9 sin(y) log^3(cos(y)) cos^(2 sin(y) + 4)(y) - 6 sin^2(y) log^2(cos(y)) cos^(2 sin(y) + 2)(y) + 3 sin^2(y) log^2(cos(y)) cos^(3 sin(y) + 2)(y) - log^2(cos(y)) cos^(sin(y) + 4)(y) + 3 sin(y) log^2(cos(y)) cos^(sin(y) + 4)(y) - 3 log^2(cos(y)) cos^(2 sin(y) + 4)(y) - 6 sin^2(y) log(cos(y)) cos^(sin(y) + 2)(y) + 6 sin^2(y) log(cos(y)) cos^(2 sin(y) + 2)(y) - 3 log(cos(y)) cos^(sin(y) + 4)(y)) + 1/24 x^4 cos^(cos^sin(y)(y) - 4)(y) (-6 sin^4(y) cos^sin(y)(y) - 8 sin^2(y) cos^(sin(y) + 2)(y) + 14 sin^2(y) cos^(2 sin(y) + 2)(y) - 6 sin^2(y) cos^(3 sin(y) + 2)(y) - 2 cos^(sin(y) + 4)(y) + 3 cos^(2 sin(y) + 4)(y) + sin^4(y) cos^(4 sin(y))(y) - 6 sin^4(y) cos^(3 sin(y))(y) + 11 sin^4(y) cos^(2 sin(y))(y) + log^8(cos(y)) cos^(4 sin(y) + 8)(y) + 6 log^7(cos(y)) cos^(3 sin(y) + 8)(y) + 7 log^6(cos(y)) cos^(2 sin(y) + 8)(y) - 6 sin(y) log^6(cos(y)) cos^(3 sin(y) + 6)(y) + 4 sin(y) log^6(cos(y)) cos^(4 sin(y) + 6)(y) + log^5(cos(y)) cos^(sin(y) + 8)(y) - 18 sin(y) log^5(cos(y)) cos^(2 sin(y) + 6)(y) + 24 sin(y) log^5(cos(y)) cos^(3 sin(y) + 6)(y) + 3 sin^2(y) log^4(cos(y)) cos^(2 sin(y) + 4)(y) - 18 sin^2(y) log^4(cos(y)) cos^(3 sin(y) + 4)(y) + 6 sin^2(y) log^4(cos(y)) cos^(4 sin(y) + 4)(y) - 6 sin(y) log^4(cos(y)) cos^(sin(y) + 6)(y) - 4 log^4(cos(y)) cos^(2 sin(y) + 6)(y) + 28 sin(y) log^4(cos(y)) cos^(2 sin(y) + 6)(y) - 6 log^4(cos(y)) cos^(3 sin(y) + 6)(y) + 3 sin^2(y) log^3(cos(y)) cos^(sin(y) + 4)(y) - 54 sin^2(y) log^3(cos(y)) cos^(2 sin(y) + 4)(y) + 30 sin^2(y) log^3(cos(y)) cos^(3 sin(y) + 4)(y) - 4 log^3(cos(y)) cos^(sin(y) + 6)(y) + 4 sin(y) log^3(cos(y)) cos^(sin(y) + 6)(y) - 18 log^3(cos(y)) cos^(2 sin(y) + 6)(y) + 14 sin^3(y) log^2(cos(y)) cos^(2 sin(y) + 2)(y) - 18 sin^3(y) log^2(cos(y)) cos^(3 sin(y) + 2)(y) + 4 sin^3(y) log^2(cos(y)) cos^(4 sin(y) + 2)(y) - 18 sin^2(y) log^2(cos(y)) cos^(sin(y) + 4)(y) + 24 sin^2(y) log^2(cos(y)) cos^(2 sin(y) + 4)(y) + sin(y) log^2(cos(y)) cos^(sin(y) + 4)(y) - 6 log^2(cos(y)) cos^(sin(y) + 6)(y) + 10 sin(y) log^2(cos(y)) cos^(2 sin(y) + 4)(y) - 12 sin(y) log^2(cos(y)) cos^(3 sin(y) + 4)(y) + 14 sin^3(y) log(cos(y)) cos^(sin(y) + 2)(y) - 36 sin^3(y) log(cos(y)) cos^(2 sin(y) + 2)(y) + 12 sin^3(y) log(cos(y)) cos^(3 sin(y) + 2)(y) + 10 sin(y) log(cos(y)) cos^(sin(y) + 4)(y) - 24 sin(y) log(cos(y)) cos^(2 sin(y) + 4)(y)) + O(x^5)
Futura said:
View attachment 3903059
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cos^cos^sin(x + y)(y)(x - y) = 2^(-2^(-(x + y) integral_0^1 cos(t (x + y)) dt) π^(-1/2 (x + y) integral_0^1 cos(t (x + y)) dt) (-i integral_(-i ∞ + γ)^(i ∞ + γ) e^(s - y^2/(4 s))/sqrt(s) ds)^(x + y integral_0^1 cos(t (x + y)) dt)) π^(-2^(-1 - x + y integral_0^1 cos(t (x + y)) dt) π^(-1/2 (x + y) integral_0^1 cos(t (x + y)) dt) (-i integral_(-i ∞ + γ)^(i ∞ + γ) e^(s - y^2/(4 s))/sqrt(s) ds)^(x + y integral_0^1 cos(t (x + y)) dt)) (-i integral_(-i ∞ + γ)^(i ∞ + γ) e^(s - (x - y)^2/(4 s))/sqrt(s) ds)^(2^(-(x + y) integral_0^1 cos(t (x + y)) dt) π^(-1/2 (x + y) integral_0^1 cos(t (x + y)) dt) (-i integral_(-i ∞ + γ)^(i ∞ + γ) e^(s - y^2/(4 s))/sqrt(s) ds)^(x + y integral_0^1 cos(t (x + y)) dt)) for γ>0
 
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i dont know math, leave me alone
 
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y^(-y) cos^cos^sin(y)(y)(y) + x y^(-y) cos^(cos^sin(y)(y) - 1)(y) (sin(y) cos^sin(y)(y) - 2 log(y) cos(y) + log^2(cos(y)) cos^(sin(y) + 2)(y)) + x^2 (2 y^(-y) log^2(y) cos^cos^sin(y)(y)(y) - 2 y^(-y) log(y) cos^(sin(y) + cos^sin(y)(y) - 1)(y) (sin(y) + cos^2(y) log^2(cos(y))) + 1/2 y^(-y) cos^cos^sin(y)(y)(y) ((sin(y) cos^(sin(y) - 1)(y) + log^2(cos(y)) cos^(sin(y) + 1)(y))^2 + 2 (sin(y) log(cos(y)) cos^sin(y)(y) + 1/2 (-tan^2(y) - 1) cos^sin(y)(y) + 1/2 log^2(cos(y)) cos^sin(y)(y) (cos^2(y) log(cos(y)) - sin(y))))) + x^3 (-4/3 y^(-y) log^3(y) cos^cos^sin(y)(y)(y) + 2 y^(-y) log^2(y) cos^(sin(y) + cos^sin(y)(y) - 1)(y) (sin(y) + cos^2(y) log^2(cos(y))) + 1/6 y^(-y) cos^(cos^sin(y)(y) - 3)(y) (2 sin^3(y) cos^sin(y)(y) + 2 sin(y) cos^(sin(y) + 2)(y) - 3 sin(y) cos^(2 sin(y) + 2)(y) + sin^3(y) cos^(3 sin(y))(y) - 3 sin^3(y) cos^(2 sin(y))(y) + log^6(cos(y)) cos^(3 sin(y) + 6)(y) + 3 log^5(cos(y)) cos^(2 sin(y) + 6)(y) + log^4(cos(y)) cos^(sin(y) + 6)(y) - 3 sin(y) log^4(cos(y)) cos^(2 sin(y) + 4)(y) + 3 sin(y) log^4(cos(y)) cos^(3 sin(y) + 4)(y) - 3 sin(y) log^3(cos(y)) cos^(sin(y) + 4)(y) + 9 sin(y) log^3(cos(y)) cos^(2 sin(y) + 4)(y) - 6 sin^2(y) log^2(cos(y)) cos^(2 sin(y) + 2)(y) + 3 sin^2(y) log^2(cos(y)) cos^(3 sin(y) + 2)(y) - log^2(cos(y)) cos^(sin(y) + 4)(y) + 3 sin(y) log^2(cos(y)) cos^(sin(y) + 4)(y) - 3 log^2(cos(y)) cos^(2 sin(y) + 4)(y) - 6 sin^2(y) log(cos(y)) cos^(sin(y) + 2)(y) + 6 sin^2(y) log(cos(y)) cos^(2 sin(y) + 2)(y) - 3 log(cos(y)) cos^(sin(y) + 4)(y)) - y^(-y) log(y) cos^cos^sin(y)(y)(y) ((sin(y) cos^(sin(y) - 1)(y) + log^2(cos(y)) cos^(sin(y) + 1)(y))^2 + 2 (sin(y) log(cos(y)) cos^sin(y)(y) + 1/2 (-tan^2(y) - 1) cos^sin(y)(y) + 1/2 log^2(cos(y)) cos^sin(y)(y) (cos^2(y) log(cos(y)) - sin(y))))) + (2/3 y^(-y) log^4(y) cos^cos^sin(y)(y)(y) + y^(-y) log^2(y) ((sin(y) cos^(sin(y) - 1)(y) + log^2(cos(y)) cos^(sin(y) + 1)(y))^2 + 2 (1/2 log^2(cos(y)) (cos^2(y) log(cos(y)) - sin(y)) cos^sin(y)(y) + log(cos(y)) sin(y) cos^sin(y)(y) + 1/2 (-tan^2(y) - 1) cos^sin(y)(y))) cos^cos^sin(y)(y)(y) + 1/24 y^(-y) (-6 sin^4(y) cos^sin(y)(y) + 11 sin^4(y) cos^(2 sin(y))(y) - 6 sin^4(y) cos^(3 sin(y))(y) + sin^4(y) cos^(4 sin(y))(y) + 14 log(cos(y)) sin^3(y) cos^(sin(y) + 2)(y) - 8 sin^2(y) cos^(sin(y) + 2)(y) + 3 log^3(cos(y)) sin^2(y) cos^(sin(y) + 4)(y) - 18 log^2(cos(y)) sin^2(y) cos^(sin(y) + 4)(y) + log^2(cos(y)) sin(y) cos^(sin(y) + 4)(y) + 10 log(cos(y)) sin(y) cos^(sin(y) + 4)(y) - 2 cos^(sin(y) + 4)(y) - 4 log^3(cos(y)) cos^(sin(y) + 6)(y) - 6 log^2(cos(y)) cos^(sin(y) + 6)(y) - 6 log^4(cos(y)) sin(y) cos^(sin(y) + 6)(y) + 4 log^3(cos(y)) sin(y) cos^(sin(y) + 6)(y) + log^5(cos(y)) cos^(sin(y) + 8)(y) + 14 log^2(cos(y)) sin^3(y) cos^(2 sin(y) + 2)(y) - 36 log(cos(y)) sin^3(y) cos^(2 sin(y) + 2)(y) + 14 sin^2(y) cos^(2 sin(y) + 2)(y) + 3 log^4(cos(y)) sin^2(y) cos^(2 sin(y) + 4)(y) - 54 log^3(cos(y)) sin^2(y) cos^(2 sin(y) + 4)(y) + 24 log^2(cos(y)) sin^2(y) cos^(2 sin(y) + 4)(y) + 10 log^2(cos(y)) sin(y) cos^(2 sin(y) + 4)(y) - 24 log(cos(y)) sin(y) cos^(2 sin(y) + 4)(y) + 3 cos^(2 sin(y) + 4)(y) - 4 log^4(cos(y)) cos^(2 sin(y) + 6)(y) - 18 log^3(cos(y)) cos^(2 sin(y) + 6)(y) - 18 log^5(cos(y)) sin(y) cos^(2 sin(y) + 6)(y) + 28 log^4(cos(y)) sin(y) cos^(2 sin(y) + 6)(y) + 7 log^6(cos(y)) cos^(2 sin(y) + 8)(y) - 18 log^2(cos(y)) sin^3(y) cos^(3 sin(y) + 2)(y) + 12 log(cos(y)) sin^3(y) cos^(3 sin(y) + 2)(y) - 6 sin^2(y) cos^(3 sin(y) + 2)(y) - 18 log^4(cos(y)) sin^2(y) cos^(3 sin(y) + 4)(y) + 30 log^3(cos(y)) sin^2(y) cos^(3 sin(y) + 4)(y) - 12 log^2(cos(y)) sin(y) cos^(3 sin(y) + 4)(y) - 6 log^4(cos(y)) cos^(3 sin(y) + 6)(y) - 6 log^6(cos(y)) sin(y) cos^(3 sin(y) + 6)(y) + 24 log^5(cos(y)) sin(y) cos^(3 sin(y) + 6)(y) + 6 log^7(cos(y)) cos^(3 sin(y) + 8)(y) + 4 log^2(cos(y)) sin^3(y) cos^(4 sin(y) + 2)(y) + 6 log^4(cos(y)) sin^2(y) cos^(4 sin(y) + 4)(y) + 4 log^6(cos(y)) sin(y) cos^(4 sin(y) + 6)(y) + log^8(cos(y)) cos^(4 sin(y) + 8)(y)) cos^(cos^sin(y)(y) - 4)(y) - 1/3 y^(-y) log(y) (2 sin^3(y) cos^sin(y)(y) - 3 sin^3(y) cos^(2 sin(y))(y) + sin^3(y) cos^(3 sin(y))(y) - 6 log(cos(y)) sin^2(y) cos^(sin(y) + 2)(y) + 2 sin(y) cos^(sin(y) + 2)(y) - log^2(cos(y)) cos^(sin(y) + 4)(y) - 3 log(cos(y)) cos^(sin(y) + 4)(y) - 3 log^3(cos(y)) sin(y) cos^(sin(y) + 4)(y) + 3 log^2(cos(y)) sin(y) cos^(sin(y) + 4)(y) + log^4(cos(y)) cos^(sin(y) + 6)(y) - 6 log^2(cos(y)) sin^2(y) cos^(2 sin(y) + 2)(y) + 6 log(cos(y)) sin^2(y) cos^(2 sin(y) + 2)(y) - 3 sin(y) cos^(2 sin(y) + 2)(y) - 3 log^2(cos(y)) cos^(2 sin(y) + 4)(y) - 3 log^4(cos(y)) sin(y) cos^(2 sin(y) + 4)(y) + 9 log^3(cos(y)) sin(y) cos^(2 sin(y) + 4)(y) + 3 log^5(cos(y)) cos^(2 sin(y) + 6)(y) + 3 log^2(cos(y)) sin^2(y) cos^(3 sin(y) + 2)(y) + 3 log^4(cos(y)) sin(y) cos^(3 sin(y) + 4)(y) + log^6(cos(y)) cos^(3 sin(y) + 6)(y)) cos^(cos^sin(y)(y) - 3)(y) - 4/3 y^(-y) log^3(y) (cos^2(y) log^2(cos(y)) + sin(y)) cos^(cos^sin(y)(y) + sin(y) - 1)(y)) x^4 + O(x^5)
 
(cos^cos^sin(x + y)(y)(x - y))/y^(2 x + y) = 2^(-2^(-(x + y) integral_0^1 cos(t (x + y)) dt) π^(-1/2 (x + y) integral_0^1 cos(t (x + y)) dt) (-i integral_(-i ∞ + γ)^(i ∞ + γ) e^(s - y^2/(4 s))/sqrt(s) ds)^(x + y integral_0^1 cos(t (x + y)) dt)) π^(-2^(-1 - x + y integral_0^1 cos(t (x + y)) dt) π^(-1/2 (x + y) integral_0^1 cos(t (x + y)) dt) (-i integral_(-i ∞ + γ)^(i ∞ + γ) e^(s - y^2/(4 s))/sqrt(s) ds)^(x + y integral_0^1 cos(t (x + y)) dt)) y^(-2 x - y) (-i integral_(-i ∞ + γ)^(i ∞ + γ) e^(s - (x - y)^2/(4 s))/sqrt(s) ds)^(2^(-(x + y) integral_0^1 cos(t (x + y)) dt) π^(-1/2 (x + y) integral_0^1 cos(t (x + y)) dt) (-i integral_(-i ∞ + γ)^(i ∞ + γ) e^(s - y^2/(4 s))/sqrt(s) ds)^(x + y integral_0^1 cos(t (x + y)) dt)) for γ>0
 
Asiangymmax said:
y^(-y) cos^cos^sin(y)(y)(y) + x y^(-y) cos^(cos^sin(y)(y) - 1)(y) (sin(y) cos^sin(y)(y) - 2 log(y) cos(y) + log^2(cos(y)) cos^(sin(y) + 2)(y)) + x^2 (2 y^(-y) log^2(y) cos^cos^sin(y)(y)(y) - 2 y^(-y) log(y) cos^(sin(y) + cos^sin(y)(y) - 1)(y) (sin(y) + cos^2(y) log^2(cos(y))) + 1/2 y^(-y) cos^cos^sin(y)(y)(y) ((sin(y) cos^(sin(y) - 1)(y) + log^2(cos(y)) cos^(sin(y) + 1)(y))^2 + 2 (sin(y) log(cos(y)) cos^sin(y)(y) + 1/2 (-tan^2(y) - 1) cos^sin(y)(y) + 1/2 log^2(cos(y)) cos^sin(y)(y) (cos^2(y) log(cos(y)) - sin(y))))) + x^3 (-4/3 y^(-y) log^3(y) cos^cos^sin(y)(y)(y) + 2 y^(-y) log^2(y) cos^(sin(y) + cos^sin(y)(y) - 1)(y) (sin(y) + cos^2(y) log^2(cos(y))) + 1/6 y^(-y) cos^(cos^sin(y)(y) - 3)(y) (2 sin^3(y) cos^sin(y)(y) + 2 sin(y) cos^(sin(y) + 2)(y) - 3 sin(y) cos^(2 sin(y) + 2)(y) + sin^3(y) cos^(3 sin(y))(y) - 3 sin^3(y) cos^(2 sin(y))(y) + log^6(cos(y)) cos^(3 sin(y) + 6)(y) + 3 log^5(cos(y)) cos^(2 sin(y) + 6)(y) + log^4(cos(y)) cos^(sin(y) + 6)(y) - 3 sin(y) log^4(cos(y)) cos^(2 sin(y) + 4)(y) + 3 sin(y) log^4(cos(y)) cos^(3 sin(y) + 4)(y) - 3 sin(y) log^3(cos(y)) cos^(sin(y) + 4)(y) + 9 sin(y) log^3(cos(y)) cos^(2 sin(y) + 4)(y) - 6 sin^2(y) log^2(cos(y)) cos^(2 sin(y) + 2)(y) + 3 sin^2(y) log^2(cos(y)) cos^(3 sin(y) + 2)(y) - log^2(cos(y)) cos^(sin(y) + 4)(y) + 3 sin(y) log^2(cos(y)) cos^(sin(y) + 4)(y) - 3 log^2(cos(y)) cos^(2 sin(y) + 4)(y) - 6 sin^2(y) log(cos(y)) cos^(sin(y) + 2)(y) + 6 sin^2(y) log(cos(y)) cos^(2 sin(y) + 2)(y) - 3 log(cos(y)) cos^(sin(y) + 4)(y)) - y^(-y) log(y) cos^cos^sin(y)(y)(y) ((sin(y) cos^(sin(y) - 1)(y) + log^2(cos(y)) cos^(sin(y) + 1)(y))^2 + 2 (sin(y) log(cos(y)) cos^sin(y)(y) + 1/2 (-tan^2(y) - 1) cos^sin(y)(y) + 1/2 log^2(cos(y)) cos^sin(y)(y) (cos^2(y) log(cos(y)) - sin(y))))) + (2/3 y^(-y) log^4(y) cos^cos^sin(y)(y)(y) + y^(-y) log^2(y) ((sin(y) cos^(sin(y) - 1)(y) + log^2(cos(y)) cos^(sin(y) + 1)(y))^2 + 2 (1/2 log^2(cos(y)) (cos^2(y) log(cos(y)) - sin(y)) cos^sin(y)(y) + log(cos(y)) sin(y) cos^sin(y)(y) + 1/2 (-tan^2(y) - 1) cos^sin(y)(y))) cos^cos^sin(y)(y)(y) + 1/24 y^(-y) (-6 sin^4(y) cos^sin(y)(y) + 11 sin^4(y) cos^(2 sin(y))(y) - 6 sin^4(y) cos^(3 sin(y))(y) + sin^4(y) cos^(4 sin(y))(y) + 14 log(cos(y)) sin^3(y) cos^(sin(y) + 2)(y) - 8 sin^2(y) cos^(sin(y) + 2)(y) + 3 log^3(cos(y)) sin^2(y) cos^(sin(y) + 4)(y) - 18 log^2(cos(y)) sin^2(y) cos^(sin(y) + 4)(y) + log^2(cos(y)) sin(y) cos^(sin(y) + 4)(y) + 10 log(cos(y)) sin(y) cos^(sin(y) + 4)(y) - 2 cos^(sin(y) + 4)(y) - 4 log^3(cos(y)) cos^(sin(y) + 6)(y) - 6 log^2(cos(y)) cos^(sin(y) + 6)(y) - 6 log^4(cos(y)) sin(y) cos^(sin(y) + 6)(y) + 4 log^3(cos(y)) sin(y) cos^(sin(y) + 6)(y) + log^5(cos(y)) cos^(sin(y) + 8)(y) + 14 log^2(cos(y)) sin^3(y) cos^(2 sin(y) + 2)(y) - 36 log(cos(y)) sin^3(y) cos^(2 sin(y) + 2)(y) + 14 sin^2(y) cos^(2 sin(y) + 2)(y) + 3 log^4(cos(y)) sin^2(y) cos^(2 sin(y) + 4)(y) - 54 log^3(cos(y)) sin^2(y) cos^(2 sin(y) + 4)(y) + 24 log^2(cos(y)) sin^2(y) cos^(2 sin(y) + 4)(y) + 10 log^2(cos(y)) sin(y) cos^(2 sin(y) + 4)(y) - 24 log(cos(y)) sin(y) cos^(2 sin(y) + 4)(y) + 3 cos^(2 sin(y) + 4)(y) - 4 log^4(cos(y)) cos^(2 sin(y) + 6)(y) - 18 log^3(cos(y)) cos^(2 sin(y) + 6)(y) - 18 log^5(cos(y)) sin(y) cos^(2 sin(y) + 6)(y) + 28 log^4(cos(y)) sin(y) cos^(2 sin(y) + 6)(y) + 7 log^6(cos(y)) cos^(2 sin(y) + 8)(y) - 18 log^2(cos(y)) sin^3(y) cos^(3 sin(y) + 2)(y) + 12 log(cos(y)) sin^3(y) cos^(3 sin(y) + 2)(y) - 6 sin^2(y) cos^(3 sin(y) + 2)(y) - 18 log^4(cos(y)) sin^2(y) cos^(3 sin(y) + 4)(y) + 30 log^3(cos(y)) sin^2(y) cos^(3 sin(y) + 4)(y) - 12 log^2(cos(y)) sin(y) cos^(3 sin(y) + 4)(y) - 6 log^4(cos(y)) cos^(3 sin(y) + 6)(y) - 6 log^6(cos(y)) sin(y) cos^(3 sin(y) + 6)(y) + 24 log^5(cos(y)) sin(y) cos^(3 sin(y) + 6)(y) + 6 log^7(cos(y)) cos^(3 sin(y) + 8)(y) + 4 log^2(cos(y)) sin^3(y) cos^(4 sin(y) + 2)(y) + 6 log^4(cos(y)) sin^2(y) cos^(4 sin(y) + 4)(y) + 4 log^6(cos(y)) sin(y) cos^(4 sin(y) + 6)(y) + log^8(cos(y)) cos^(4 sin(y) + 8)(y)) cos^(cos^sin(y)(y) - 4)(y) - 1/3 y^(-y) log(y) (2 sin^3(y) cos^sin(y)(y) - 3 sin^3(y) cos^(2 sin(y))(y) + sin^3(y) cos^(3 sin(y))(y) - 6 log(cos(y)) sin^2(y) cos^(sin(y) + 2)(y) + 2 sin(y) cos^(sin(y) + 2)(y) - log^2(cos(y)) cos^(sin(y) + 4)(y) - 3 log(cos(y)) cos^(sin(y) + 4)(y) - 3 log^3(cos(y)) sin(y) cos^(sin(y) + 4)(y) + 3 log^2(cos(y)) sin(y) cos^(sin(y) + 4)(y) + log^4(cos(y)) cos^(sin(y) + 6)(y) - 6 log^2(cos(y)) sin^2(y) cos^(2 sin(y) + 2)(y) + 6 log(cos(y)) sin^2(y) cos^(2 sin(y) + 2)(y) - 3 sin(y) cos^(2 sin(y) + 2)(y) - 3 log^2(cos(y)) cos^(2 sin(y) + 4)(y) - 3 log^4(cos(y)) sin(y) cos^(2 sin(y) + 4)(y) + 9 log^3(cos(y)) sin(y) cos^(2 sin(y) + 4)(y) + 3 log^5(cos(y)) cos^(2 sin(y) + 6)(y) + 3 log^2(cos(y)) sin^2(y) cos^(3 sin(y) + 2)(y) + 3 log^4(cos(y)) sin(y) cos^(3 sin(y) + 4)(y) + log^6(cos(y)) cos^(3 sin(y) + 6)(y)) cos^(cos^sin(y)(y) - 3)(y) - 4/3 y^(-y) log^3(y) (cos^2(y) log^2(cos(y)) + sin(y)) cos^(cos^sin(y)(y) + sin(y) - 1)(y)) x^4 + O(x^5)
Click to expand...
 
@Сигма Бой
 
Are you even old enough to know contour integrals?
 
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