`int e^(x) cos^(2)x dx`

Integrate : int e^(2x) cos3x dx

Evaluate int e^(x) cos x dx

int e^(x)cos e^(x)dx

int e^(x)cos^(2) (e^(x))dx

int e^(3x) " cos 2x dx "

" 4."int e^(x)cos(e^(x)+2)dx

Evaluate the following integrals (i) int e^(3x) cos 2x dx " " (ii) int e^(-5x) sin 3x dx

Consider the integrals I_(1)=overset(1)underset(0)inte^(-x)cos^(2)xdx,I_(2)=overset(1)underset(0)int e^(-x^(2))cos^(2)x dx,I_(3)=overset(1)underset(0)int e^(-x^(2//2))cos^(2)xdx and I_(4)=overset(1)underset(0)int e^(-x^(2//2))dx . The greatest of these integrals, is