Mathematics: Applications and Interpretation · Topic 5: Calculus

AHL5.11 — Further integration

Mathematics: Applications and Interpretation · SL / HL · syllabus-mapped notes

1. AIAHL5.11.1

   Integrals of further functions

   Integrating $x^n$ (including $n=-1$), $\sin x$, $\cos x$, $\tfrac{1}{\cos^2 x}$ and $e^x$.

2. AIAHL5.11.2

   Integration by inspection or substitution

   Reversing the chain rule: $\int f(g(x))g'(x)\,dx$.