Consider the following Integral:

11x +19/2x²-7x-30

To solve this equation you are going to have to preform partial fraction decomposition. That means, you will have to write 11x+19/2x² -7x-30 as two fractions with linear denominators.

Let's do this in steps:

1. Factor the denominator and write it as the product of linear term.
2. Set our rational function equal to the sum of two function with the linear factors in the denominator and an unknown constant in the numerator.
3. Find the unknown constant
4. Do the integral

Describe your thought process while solving this equation.