Question

Can someone explain integration by partial fractions, or refer me to a good website that will help me?

Answer 1

Essentially, when you're given a rational expression in the integrand, you can split it up into several fractions, each one with a denominator that's a different factor of the original denominator.

Answer 2

hmmm

Answer 3

it is always for quotients?

Answer 4

For instance,\[\frac{1}{x(x^2+1)} = \frac{A}{x} + \frac{B}{x^2+1.}\]With this, you can cross-multiply, set appropriate values for x to get values of A and B, and then replace the two new fractions where the old, ugly one was.

Answer 5

I don't think it's always for quotients, but that's where the vast majority of them lie.

Answer 6

it is to just break of the original?

Answer 7

break up*

Answer 8

I believe so, yep. I haven't seen one in an introductory calculus course that isn't for that purpose.

Answer 9

what education do you have?

Answer 10

if you dont mind me asking.. :)

Answer 11

I'm going through multivariate calculus now, and I've studied about 3 or 4 single-variable calculus textbooks made for the Calc 1 and 2 levels in university...

Or were you asking me where I go to school? :P

Answer 12

haha no, i was just asking what level of education

Answer 13

Ah, gotcha.
I'm entering my freshman year of college.

Answer 14

nice, good work.