(7) `int e^(x)*sin xdx`

int e^(x) sin x dx .

inte^(4x)sin3xdx

int cos^(2)x sin xdx

int e^x sin(e^x) dx

Evaluate: int e^(cos^2 x)sin2xdx

int x sec x*tan xdx

5. int x sec^(2)xdx

int(3cosx+4)/sin^2xdx

If a gt0 and a!=1 evaluate the following integrals: (i) int e^(xlog_(e)a)dx (ii) int e^(alog_(e)x)dx (iii) int e^x a^xdx (iv) int 2^(log_(e)x)dx

(i) int (e^(x) .(1-x))/(x^(2))dx (ii) int ((1+sin x)/(1+cos x))e^(x) dx