Find the integral.
where a > 2 is a constant
where a and c are constants, a < c
, where a is a nonzero constant
where u is a nonzero constant
Here's one way to do this problem:
Another way is to recognize that if u is a nonzero constant, so is . This means we can pull this constant out of the integral:
Now we evaluate this simpler integral:
and put everything back together:
where a is a constant greater than zero
where C and D are constants, C < D
This answer doesn't get much prettier, but we can at least group the e terms together and the constant terms together:
where a is a nonzero constant
where b > 1 and a ≠ 0 are constants
This one doesn't get much prettier either, although we could group terms like this:
Make it rain.