Repeated integration by parts with a quadratic factor

Repeated integration by parts with a quadratic factor

IB Year 6 | Grade 12
6 marks

Find \(\displaystyle\int x^2\sin x\,\mathrm dx\).[6]

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create a free account to practise similar questions.

Answer:\(-x^2\cos x+2x\sin x+2\cos x+C\)

Need help? Join our JC Math tuition classes.

Learn more