int_(0)^( pi)sqrt(2+2cos theta)d theta

Evaluate int_(0)^((pi)/(2))(cos theta d theta)/((sin theta +2)(sin theta +3)) .

Evaluate: int_(0)^( pi/2)sqrt(cos theta)sin^(3)theta d theta

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

If I_(n)=int_(0)^(2 pi)(cos(n theta))/(cos theta)d(theta), where n in N then.

Show that int_(0)^(2)sqrt((sin2 theta))sin theta d theta=(pi)/(4)

int_(0)^((pi)/(2))(cos theta-sin theta)/((1+cos theta)(1+sin theta))d theta equals -

int_(0)^(pi//8) cos^(3)4 theta d theta=

int_(0)^(pi//8) cos^(3)4 theta d theta=

" The value of the integral "int_(0)^( pi/2)(12sqrt(cos theta))/((sqrt(cos theta)+sqrt(sin theta))^(5))d theta" equals "...