int(-pi/2)^( pi/2)sin^(2)x cos^(2)x(sin ...

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

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

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

int_(-pi)^(pi)sin^(2)x.cos^(2)x dx=

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

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

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

int_(-pi//2)^(pi//2) ( sin ^(3) x . cos ^(3) x)/(cos^(2) x - sin ^(2) x) dx = . . . .

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

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

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