Thread: please help me with integration using partial fraction method

Can you help me with this..... using partial fraction method

integration of:

x^3 +4x^2 -6x / x^2 -2x+1



I used polynomial division and obtained..

(x+6) + (5x-6)/(x^2-2x +1)

is this right?? and.. can you give me solution with explanation pls..

Thank you so much

Your long division is correct.

Now you can easily integrate (x+6) by itself.

As for the remainder, consider that (a+b)/(c) = a/c + b/c
and that x^2 - 2x + 1 = (x-1)^2

let ...



let ...