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" 4."int(-)^(pi/4)sin^(3)2t cos2tdt...

" 4."int_(-)^(pi/4)sin^(3)2t cos2tdt

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Find int_(0)^((pi)/(4))sin^(3)2tcos2tdt

int_0^(pi/4) sin^3 2tcos2tdt

Evaluate the following integrals: int_0^(pi/4) sin^3 2t cos 2t dt

Evaluate the following integral : int_0^(pi/4) sin^3(2t) cos(2t) dt

int_(-pi/4)^(pi/4)sin^(3)xdx=2.

If int_(0)^(pi//2)sin^(4)x cos^(2)x dx=(pi)/(32) , then int_(0)^(pi//2)sin^(2)x cos^(4)x dx=

Lt_ (x rarr0) ((int_ (0) ^ (x) sin ^ (3) t cos tdt) / (x ^ (4)))

lim_ (x rarr0) (int_ (0) ^ (x) sin ^ (2) t cos tdt) / (x ^ (3))