माना कि I = int (-pi)^(pi) (2x (1+ sin ...

माना कि ` I = int _(-pi)^(pi) (2x (1+ sin x))/(1+cos^(2) x)dx `

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int_(-pi)^(pi) (2x(1 + sin x))/(1 + cos^2 x) dx is :

int_-pi^pi (x(1+sin x))/(1+cos^(2)x)dx

I= int_0^(pi)(x sin x)/(1+cos^(2)x)dx

Evaluate: int_(-pi)^( pi)((2x)(1+sin x)/(1+cos^(2)x))dx

int_(0)^(pi//2) (sin x)/(1 +cos^2) dx .

int_(-pi)^(pi)(1-x^(2))sin x cos^(2)x dx=

int_(0)^( pi)(sin x)/(1+cos^(2)x)dx =

int_(-pi)^(pi) (1 - x^2)sin x cdot cos^2 x cdot dx is :

int_(-pi//2)^(pi//2)(sin^(2n-1)x)/(1+cos^(2n)x)dx=

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