Find the integral
`I=int (e^x(x+1))/(cos^2(x.e^x))dx`

int(e^(x)(1+x))/(cos^(2)(xe^(x)))dx=

Find the integral int(2x^(2)+e^(x))dx

int((x+1)e^(x))/(cos^(2)(xe^(x)))dx=?

Find the integral int(2x-3cos x+e^(x))dx

Evaluate the following integrals: int (e^(x))/(a^(x))dx

Evaluate the integrals : I = int_(0)^(1) (e^(x))/( 1 + e^(2x)) dx ,

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