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

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

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Evaluate the following integral: int_0^(pi//2)(cos x)/(1+sin^2x)dx

Evaluate the following integral: int_0^(pi//2)(cos x)/(1+sin^2x)dx

Evaluate the following integral: int_0^(pi//2)(cos^2x)/(1+3sin^2x)dx

int_(0)^(pi//2)(sin x.cos x)/(1+sin^(4)x)dx=

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 =

int_(0)^((pi)/(2))(cos^(2)x)/(1+3sin^(2)x)*dx

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