Question

Evaluate.

The integral of (e^5x)(sin6x)dx

Answer 1

Try integration by parts.
You will have to do it twice.
Be very careful, it is so easy to make mistakes in these kind of messy questions.

Here is an example very similar to yours

http://www.sosmath.com/calculus/integration/byparts/Example3/Example3.html

Notice the switch in substitution in the second round.

(Did you not have some easier questions as lead-ups for this type where one step was enough?)

Answer 2

unfortunately no. my professor is not very helpful and throws problems at us by skipping steps and providing half hearted explanations

Answer 3

Also thank you for the help! I now understand :)