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int0^(pi/2)(sinxcosx)/(1+sin^4x)dx...

`int_0^(pi/2)(sinxcosx)/(1+sin^4x)dx`

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int_(0)^(pi//2)(sinxcosx)/((1+sin^(4)x))dx

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int_0^(pi/2) sin x dx

Evaluate: int_0^(pi//2)(xsinx cos\ x)/(sin^4x+cos^4x)dx

Evaluate the following integral: int_0^(pi//2)(xsinxcosx)/(sin^4x+cos^4x)dx

Evaluate the following integral: int_0^(pi//4)(sin x+cosx)/(3+sin2x)dx

I_(1)=int_(0)^((pi)/2)(sinx-cosx)/(1+sinxcosx)dx, I_(2)=int_(0)^(2pi)cos^(6)dx , I_(3)=int_(-(pi)/2)^((pi)/2)sin^(3)xdx, I_(4)=int_(0)^(1) In (1/x-1)dx . Then

int_(0)^(pi//2)((sinx-cosx))/((1+sinxcosx))dx=0

Evaluate: int_0^(pi//2)(sinx)/(sin^4x+cos^4x)dx

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