[0" (Lan "x+2tan x+9)^(2)],[pi],[int5(5-4cos theta)^(1/4)sin theta d theta]

Evaluate the following integrals by changing the limits of integration after suitable subsitutions: underset(0)overset(pi)int5(5-4cos theta)^(1//4) sin theta d theta

5. int_0^(pi/4)sec^2theta d theta

int_(0)^( pi)(sin theta+cos theta)/(sqrt(1+sin2 theta))d theta

Evaluate int_(0)^(pi//2) cos theta tan ^(-1) ( sin theta)d theta .

Evaluate int_(0)^(pi//2) cos theta tan ^(-1) ( sin theta)d theta .

The value of the integral int_(0)^(pi//4) (sin theta+cos theta)/(9+16 sin 2theta)d theta , is

The value of the integral int_0^(pi/4) (sin theta + cos theta)/(9+16 sin 2 theta) d theta is