If `int_(-3pi)^(3pi)sin^2thetasin^2(2theta) d theta` is equal to `(kpi)/4` ,then value of k is

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If int_(-3 pi)^(3 pi)sin^(2)theta sin^(2)(2 theta)d theta is equal to (k pi)/(4), then value of k is

int_(0)^(pi//2) (cos theta)/(sqrt(4-sin^(2)theta))d theta is equal to

int_(-(pi)/(2))^((pi)/(2))cos^(3)theta(1+sin theta)^(2)d theta is equal to

int_(0)^( pi/2)sin^(3)theta d theta=

I=int_(0)^( pi/4)(sin2 theta)/(sin^(2)theta+cos^(4)theta)d theta