Thread: Polynomial indefinite integral

Hello, I'm in calculus 2 and have this problem:



Separating the numerator does not seem to do any good. How should I proceed?

Originally Posted by Ragnarok

Hello, I'm in calculus 2 and have this problem:

Note that

Thanks! But I still don't get it. How does that help?

Okay, never mind, I got it. So the point here was that we needed to make the numerator something that would cancel out the derivative of the denominator?

Originally Posted by Ragnarok

Okay, never mind, I got it. So the point here was that we needed to make the numerator something that would cancel out the derivative of the denominator?

Yes. The moral of the story, always look for an "inner" function with its derivative as a multiple, then you can use a substitution.

Let . What is du/dx?