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" (iv) "int(0)^(2 pi)x(sin^(2)x cos^(2)x...

" (iv) "int_(0)^(2 pi)x(sin^(2)x cos^(2)x)dx=

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

int_0^(pi/2) x sin^(2) x. cos^(2) x dx =

int_(0)^( pi)(sin x)/(1+cos^(2)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) x sin x cos^(2)x\ dx

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

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

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