(main)[5]
Determine the exact value of $\int_{1}^{3} x^2 \ln(3x)\,dx$. Present your answer as $a\ln b + c$, where $a$ and $c$ are rational and $b$ is an integer.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Carry out the integration to obtain $p x^3\ln3x + q\int x^2\,dx$.” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI