# Math Help - Integration with fractions

1. ## Integration with fractions

$\int \frac{x^3}{(x+1)^{10}}\:dx$

Thanks

2. Originally Posted by polymerase
$\int \frac{x^3}{(x+1)^{10}}\:dx$
The substitution $u=x+1$ does make sense to you?

3. Originally Posted by Krizalid
The substitution $u=x+1$ does make sense to you?
but then what do you do at $\int \frac{(u-1)^3}{u^{10}}$?

4. $(u-1)^3=u^3-3u^2+3u-1.$

Now split the original fraction into four ratios.

5. Originally Posted by Krizalid
$(u-1)^3=u^3-3u^2+3u-1.$

Now split the original fraction into four ratios.
Thanks never had to resub so early....