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" (ii) "int(0)^( pi/6)(2+3x^(2))cos3xdx...

" (ii) "int_(0)^( pi/6)(2+3x^(2))cos3xdx

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(i) int_(0)^(pi//2) x sin x cos x dx (ii) int_(0)^(pi//6) (2+3x^(2)) cos 3x dx

int_(0)^( pi/2)(1+sin x)^(3)cos xdx

int_(0)^( pi/2)(1+sin x)^(3)cos xdx

int_(0)^( pi/2)x^(2)cos^(2)xdx

int_(0)^( pi/2)sin^(2)x cos^(3)xdx

int _(0)^(pi//6) (2+3x^(2))cos 3 xdx is equal to

" (i) "int_(0)^( pi/2)sin^(6)x cos^(3)xdx

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int_(0)^( pi/2)sin^(3/2)x cos^(3)xdx