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" Prove that "int(-pi/2)^( pi/2)(sin^(4)...

" Prove that "int_(-pi/2)^( pi/2)(sin^(4)x)/(sin^(4)x+(0)^(4)x)dx=(pi)/(2)

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

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

Prove that : int_(0)^(pi//2) (sin^(3)x)/(sin^(3) x+ cos^(3)x)dx =(pi)/(4)

Prove that : int_(0)^(pi//2) (sin^(3)x)/(sin^(3) x+ cos^(3)x)dx =(pi)/(4)

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

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

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

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

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

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