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

$\displaystyle \int \frac{t^2-3}{-t^3+9t+1}dt$

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

Printable View

- Jun 25th 2012, 09:51 AMRagnarokPolynomial indefinite integral
Hello, I'm in calculus 2 and have this problem:

$\displaystyle \int \frac{t^2-3}{-t^3+9t+1}dt$

Separating the numerator does not seem to do any good. How should I proceed? - Jun 25th 2012, 09:57 AMPlatoRe: Polynomial indefinite integral
- Jun 25th 2012, 11:01 AMRagnarokRe: Polynomial indefinite integral
Thanks! But I still don't get it. How does that help?

- Jun 25th 2012, 11:03 AMRagnarokRe: Polynomial indefinite integral
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?

- Jun 25th 2012, 09:13 PMProve ItRe: Polynomial indefinite integral
- Jun 25th 2012, 10:45 PMrichard1234Re: Polynomial indefinite integral
Let $\displaystyle u = -t^3 + 9t + 1$. What is du/dx?