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

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

Evaluate the following integrals : int ( sin theta + cos theta )/(sqrt(1+sin 2 theta )) d theta

Evaluate the following integrals: int(2sin 2 theta- cos theta)/(6-cos^2 theta- 4 sin theta)d theta

Evaluate the following integrals: int_(0)^( pi/6)cos^(-3)2 theta sin2 theta d theta

Evaluate the following integrals int (d theta) / (4cos^2theta+9sin^2theta)

Evaluate the following integrals int (d theta)/(2+3cos^2theta-4sin^2 theta)

Evalute the following integrals int (sin theta)/(sqrt(2 - cos^(2) theta)) d theta

Evaluate the following: int sin theta log(cos theta) d theta

Evaluate the following determinants: (b) |(cos theta, -sin theta),(sin theta, cos theta)| = cos theta (cos theta) - sin theta(-sin theta) = cos^(2) theta + sin^(2) theta = 1

int (sin theta cos theta) / (cos ^ (2) theta-cos theta-2) d theta