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" (vii) "int(0)^((pi)/(4))(tan^(3)x)/(1+...

" (vii) "int_(0)^((pi)/(4))(tan^(3)x)/(1+cos2x)dxquad (AP)

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int_(0)^(pi//2)(dx)/(1+tan^(3)x)=

int_(0)^(pi//2)(1)/(1+tan^(3)x)dx=

int_(0)^(pi//4) tan x dx

int_(0)^(pi) (tan x)/(sec x + cos x) dx=

int_(0)^((pi)/(2))(1)/(4+5cos 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

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/4)(1)/(cos^(2)x)dx

Evaluate the following integral: int_0^(pi//4)(tan^3x)/(1+cos2x)dx