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# Integration using partial fractions watch

1. Hi please could someone help with exercise 4.1 part b)? I've got the denominator factorised as x(x^2+2x+5) but not sure how to split the fraction into partial fractions.
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2. (Original post by jordanwu)
Hi please could someone help with exercise 4.1 part b)? I've got the denominator factorised as x(x^2+2x+5) but not sure how to split the fraction into partial fractions.
So it would be in the form
3. (Original post by TeeEm)
A/x +(Bx + C)/(x^2+2x+5), as the denominator is irreducible
I ended up with -1/x + 4x/x^2+2x+5, where should I go on from here?
4. (Original post by jordanwu)
I ended up with -1/x + 4x/x^2+2x+5, where should I go on from here?
Integrate the first fraction which should be straightforward.

Then if you express the second one as:

which is straight forward as well.

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