Question

How do you integrate `f(x)=(3x^2-x)/((x^2-52)(x+4)(x-7))` using partial fractions?

Answer 1

See the answer below:

Explanation:

Credits:
Thanks very much to the web site http://www.emathhelp.net/calculators/algebra-2/system-of-equations-solver/?s=A%2BB%2BC%2BD%3D0%2C+4A-7B%2B%28-3%2Bsqrt%2852%29%29C%2B%28-3-sqrt%2852%29%29D%3D3%2C+-52A-52B%2B%28-28-3*sqrt%2852%29%29C%2B%28-28%2B3*sqrt%2852%29%29D%3D-1%2C+-208A%2B364B-28*sqrt%2852%29C%2B28*sqrt%2852%29D%3D0&v= who helped us with the "huge" system of equations.