# Solve a Complicated Integral

Show that (7x/x^2 + 5) + (4/3x+15) - (5/6x-24) = (45x^3-15x^2-825x-35)/((6x^2+30)(x^2+x-20)) then use that information to determine S=integral S(45x^3-15x^2-825x-35)/((6x^2+30)(x^2+x-20)) dx.

Â© BrainMass Inc. brainmass.com February 24, 2021, 2:19 pm ad1c9bdddfhttps://brainmass.com/math/integrals/solve-complicated-integral-13219

#### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

Problem: show that (7x/x^2 + 5) + (4/3x+15) - (5/6x-24) = (45x^3-15x^2-825x-35)/((6x^2+30)(x^2+x-20)) then use that information to determine S=integral ...

#### Solution Summary

A complicated integral is solved. The solution is detailed and well presented.

$2.19