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" Evaluate "int(0)^( pi/2)(sin^(4)x)/(si...

" Evaluate "int_(0)^( pi/2)(sin^(4)x)/(sin^(4)x+cos^(4)x)dx

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Evaluate int_(0)^(pi/2)(cos^(4)x)/(sin^(4)x+cos^(4)x)dx

int_(-pi//2)^(pi//2)(sin^(4)x)/(sin^(4)x + cos^(4)x)dx=

int_(0)^( pi/2)(sin2x)/(sin^(4)x+cos^(4)x)backslash dx

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

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