Simple anti-derivative problems. I missed the lecture on this and need to be walked through this:

Indefinite integral for: (4t-9)^-3

and

(x^2+2x-3)/(x^4)

thanks a lot

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- Apr 9th 2008, 04:58 PMcoach2ufAnti-derivatives
Simple anti-derivative problems. I missed the lecture on this and need to be walked through this:

Indefinite integral for: (4t-9)^-3

and

(x^2+2x-3)/(x^4)

thanks a lot - Apr 9th 2008, 05:01 PMMathstud28ok
- Apr 9th 2008, 05:06 PMcoach2uf
- Apr 9th 2008, 05:11 PMMathstud28
- Apr 9th 2008, 05:14 PMcoach2uf
- Apr 9th 2008, 05:16 PMMathstud28ok
- Apr 9th 2008, 05:18 PMo_O

Let . So:

So performing your substitution:

And this should be a standard one.

For the second one, what MathStud was saying was to split the fraction up:

See how each term cancels into something you can integrate rather easily? - Apr 9th 2008, 05:26 PMcoach2uf
- Apr 9th 2008, 05:34 PMo_O
What do you mean? I just replaced 4t + 9 with u. The exponent -3 remains the same.