Thread: Confusing integration partial fractions

Hi, i normally understand integration by partial fractions, but ive come across a sum i can't figure out how to get the answer. Any chance anyone could give me a hand?
I'm not going to tell you the exact question because thats cheating, but..

Integrate x^(a power) / (x^3-1)

Thanks for your time

Originally Posted by Bexii

Hi, i normally understand integration by partial fractions, but ive come across a sum i can't figure out how to get the answer. Any chance anyone could give me a hand?
I'm not going to tell you the exact question because thats cheating, but..

Integrate x^(a power) / (x^3-1)

Thanks for your time

Suppose Then use partial fractions. Suppose , use polynomial division and then p-fracs.

Ok.... well the power is over 3 so division it is. Erm any chance of an example how to do the division in relation to this sum? Very rusty....

It's the same as your old grade-school long division. The quotient will be expressed by itself (over 1) and the remainder must be placed over the original denominator.

EDIT: By that, I mean write out all of your coefficients of different degrees of X as if they were the different value places in basic long division.