The first one is: The integral of e^(2sinx) / (5secx) so far I have tried do a substitution and letting u = 2sinx so du = 2cosxdx. I'm pretty sure you can move 5secx into the numerator, making it 5cosx. But from there, I'm not sure if I should move the 2 to the other side, making it (1/2)du, or if I can cancel out 2cosx. Also I'm not really sure what else to do...since it would then be the integral of e^(u) * 5cosx du? Is it possible to do it with an x and a u?
The second one is the integral of ((4 + e^ (-3x)) * (e^(2x)). For this one, would you multiply it out so you can get the integral of (4e^(2x)) + the integral of ((e^(-3x)*(e^(2x))? I'm not sure how to deal with e when it is raised to two different things.
Any help would be great and thank you!