∫ 4/x^2+ 5x − 14 dx

For this problem we want to look to split it into logical steps We first identify that it is an integration problem without limits therefore there will be a constant of integration +C present The denominator can be factored therefore double bracket factorizing can be used as it is a simple quadraticTo avoid confusion the 4 can be taken out of the integral Then treat the algebraic fraction separately and split it into its partial fractionsApply integration principles to each of the now separated fractions If possible check your answer on the graphical calculator