Integration by Partial Fractions

  • Thread starter jumbogala
  • Start date
  • #1
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Homework Statement


Integrate

x^3 + 49 / x^2 + 5x + 4


Homework Equations





The Attempt at a Solution


Since the numerator has an x cubed, but the denominator only has an x squared, I know I need to divide the numerator by something.

I'm not sure what, but maybe the denominator?

At some point I know I need to factor the denominator, and I got (x+4)(x+1).

Once I get that top part simplified I think I know what to do, I'm just not sure how to simplify.
 

Answers and Replies

  • #2
35,028
6,774
Yes, divide the numerator by the denominator. You'll get x + (other terms)/(x^2 + 5x + 4).
 

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