Our book does a really lousy job of explaining the intricacies of exponential integration. I came upon this problem that I don't know how to solve:
I'm sure that there is a chain rule here, so this is what I did:
using the rule I came up with:
If this doesn't make sense, my exponent comes from the idea that the integral of -2u du is -u^2 (I think).
I know that my answer is wrong, but I don't know what I am doing wrong.