Calculation of indefinite integral ∫ (e ^ (2x) + 2E ^ (3x) + 2) e ^ xdx by using the method of substitution integral

Calculation of indefinite integral ∫ (e ^ (2x) + 2E ^ (3x) + 2) e ^ xdx by using the method of substitution integral

e^x=u,dx=du/e^x=du/u
∫(e^(2x)+2e^(3x)+2)e^xdx=∫(u^2+2u^3+2)du=u^4/2+u^3/3+2u+c