Partial fractions for integral

[lavster]

Homework Statement

evaluate:

[tex]\int \frac{x^3}{x-1} dx [/tex]

this is part of a bigger question... i get down to this far but i have no idea how to tackle this integral...

Homework Equations

The Attempt at a Solution

my thoughts are - partial fractions... but its only got one thing on the denominator...

then i thought do the division but i don't know how to do that

then i thought that it could be substitution of variables but i can't find any that works...

please point me in the right direction!

thanks in advance

 

[Mark44]

Homework Statement

evaluate:

[tex]\int \frac{x^3}{x-1} dx [/tex]

this is part of a bigger question... i get down to this far but i have no idea how to tackle this integral...

Homework Equations

The Attempt at a Solution

my thoughts are - partial fractions... but its only got one thing on the denominator...

then i thought do the division but i don't know how to do that

then i thought that it could be substitution of variables but i can't find any that works...

please point me in the right direction!

thanks in advance

Polynomial long division is the way to go: http://en.wikipedia.org/wiki/Polynomial_long_division