Find
∫24(2x+5)2 dx \int \frac{24}{(2x + 5)^2} \, dx ∫(2x+5)224dxgiving your answer in simplest form.
Write 5x+3x+4\frac{5x + 3}{x + 4}x+45x+3 in the form
A+Bx+4 where A and B are constants to be found A + \frac{B}{x + 4} \text{ where } A \text{ and } B \text{ are constants to be found} A+x+4B where A and B are constants to be foundHence find, using algebraic integration, the exact value of
∫−9−55x+3x+4 dx \int_{-9}^{-5} \frac{5x + 3}{x + 4} \, dx ∫−9−5x+45x+3dxgiving your answer in simplest form.
