int_(0)^(2 pi)|cos x|dx=4

int_(0)^( pi)|cos x|dx=2

If A=int_(0)^( pi)(cos x)/((x+2)^(2))dx, then int_(0)^( pi/2)(sin2x)/(x+1)dx is equal to

If I_(1)=int_(0)^(pi//2)"x.sin x dx" and I_(2)=int_(0)^(pi//2)"x.cos x dx" , then

Evaluate the following definite integral int_0^(pi/2) cos^4 x dx

Evaluate the following definite integral int_0^(pi/2) cos^4 x dx

By using the properties of definte, prove that int_(0)^(pi//2)cos^(2)x dx=(pi)/4

Prove that: int_0^(pi//2) cos^4 x dx =(3pi)/16

(i) int_0^(pi//2) sin^2 dx =pi/4 (ii) int_0^(pi//2) cos^2x dx=pi/4 (iii) int_(-pi//4)^(pi//4) sin^2 x dx=pi/4-1/2 (iv) int_(-pi//4)^(pi//4) cos^2x dx=pi/4+1/2