When integrating rational functions by partial fractions, what do you do if the power of the numerator is the same as the denominator?

Question

babyslapmafro · Answer

Do you solve normally, long-divide, or is there some other method?

babyslapmafro · Answer

$$\int\limits_{}^{}\frac{  }{  }\frac{ 3x^2-10 }{ x^2-4x+4 }dx$$

anonymous · Answer

i would factor the numerator and denominator first

anonymous · Answer

but yeah if the degrees are the same then long divide first

babyslapmafro · Answer

the numerator can't be factored, correct?
$$\int\limits_{}^{}\frac{ 3x^2-10 }{ (x-2)(x-2) }dx$$

babyslapmafro · Answer

ok ill long-divide

anonymous · Answer

pauls online notes have a great tutorial on how to do partial fractions btw

babyslapmafro · Answer

can you long-divide with equal powers? this doesn't seem to work...

babyslapmafro · Answer

nvm i got it