Does anyone know any shortcut to solve the following integral? As it stands the only way I know how to do it is to first use polynomial long division and then use integration with partial fractions. It is not necessarily difficult, it is just long and tedious, so I was wondering if there were any short cuts to lessen the chances of me making a careless error.
Your right I could really use the algebra practice. The only thing I am not solid on is how to make sure that I factor
2x^2+5x-3 correctly. I know that it is (2x-1)(x+3) but only because when you foil, you see that it is correct. Is there any short-cut to check that you factored correctly without having to foil?