" 32."int cos^(2)theta d theta

Evaluate the following integrals : int cos^(2) theta d theta

If sin 6theta =32 cos ^(2) theta sin theta -32 cos ^(3) theta sin theta + 3x, then x=

int (sin^(2)theta d theta)/((1 + cos theta)^(2))

int(sin^(6)theta+cos^(6)theta)/(sin^(2)theta cos^(2)theta)d theta=

int_(0) ^(pi//2) cos^(2) theta d theta =

Let the be an integrable function defined on [0,a] if I_(1)=int_(pi//2)^(pi//2) cos theta f(sin theta cos ^(2) theta)d theta and I_(2)=int_(0)^(pi//2)sin 2 theta f(sin theta cos ^(2) theta)d theta then

int_ (0) ^ ((pi) / (2)) cos ^ (4) theta d theta

Evaluate int _(0)^(pi//2) (cos^(4) theta)/(sin^(4) theta + cos^(4) theta)d theta

Evaluate the following integrals : int (cos^(3) theta - 3 cos theta sin^(2) theta) d theta