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 CCEA A Level Maths 3.6.4 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.