Use the substitution u=2+exu = 2 + e^xu=2+ex to find ∫e3x2+exdx\displaystyle \int \frac{e^{3x}}{2 + e^x} dx∫2+exe3xdx.
119 exam-style questions on AQA A Level Maths 1.11.5 Integration by substitution and by parts (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.