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

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

The value of the definite integral int_(0)^( pi)((1-x sin2x)e^(cos^(2)x)+(1+x sin2x)e^(sin^(2)x)) dx is equal to

If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to

If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to

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

If I_(1)=int_(0)^(pi//2)(cos^(2)x)/(1+cos^(2)x)dx,I_(2)=int_(0)^(pi//2)(sin^(2)x)/(1+sin^(2)x)dx , I_(3)=int_(0)^(pi//2)(1+2cos^(2)x.sin^(2)x)/(4+2cos^(2)xsin^(2)x)dx , then

Let u=int_(0)^((pi)/(4))(cos^(2)x)/(1+sin2x)dx,v=int_(0)^((pi)/(8))(1)/((1+tan2x)^(2))dx then the value of (u)/(v) equals

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