How to integrate with steps: (4x2-6)/(x+5)(x-2)(3x-1)

You have a rational expression whose numerator's degree is smaller than the denominator's. This tells you you should consider a partial fraction decomposition. We want to rewrite the integrand in the form

You can use the "cover-up" method here to easily solve for . It involves fixing a value of to make 2 of the 3 terms on the right side disappear and leaving a simple algebraic equation to solve for the remaining one.

So the integral we want to compute is the same as

and each integral here is trivial. We end up with

which can be condensed as

146%

step-by-step explanation:

8

step-by-step explanation: