How do you integrate #f(x)=x/((x-2)(x+4)(x-7))# using partial fractions?
Let's say that there are constant
Solving it back we have
That also means,
From there, it's just a question of solving the system. Using Cramer's rule for example; solve whichever you way you think is best. For brevity's sake I won't add more to it here, if you think you could benefit from an explanation on that, just contact me.
Anyhow, solving that we see that
From there we can just say
Which are easy integrals