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Integration help watch

1. Hi I was wondering if you had to integrate 3x squared / 1-2x cubed how would you do it?

I known that it would be using ln but so it would be ln(1-2x cubed) but what happens to the top part of the fraction when integrating?
2. substitution or partial fractions
3. if it is

3x2
----------
1 - x3

then the top is nearly the derivative of the bottom so ln is the way to go...
4. (Original post by the bear)
if it is

3x2
----------
1 - x3

then the top is nearly the derivative of the bottom so ln is the way to go...
Hi, I know that it would be ln(1-x cubed) but what would happen to the 3x2
5. (Original post by Teddysmith123)
Hi, I know that it would be ln(1-x cubed) but what would happen to the 3x2
if you have to integrate

f'(x)
------
f(x)

the answer is just ln|f(x)| + c

the top does not reappear.

however in this case the top is not the exact derivative of the bottom...
6. (Original post by Teddysmith123)
Hi, I know that it would be ln(1-x cubed) but what would happen to the 3x2
It wouldn't be though that is very close

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Updated: December 3, 2014
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