12 HL Integration by Parts

Complete the following two questions for next class (Friday).

1. Find $\int x \sin x \; dx$, and verify that your answer is correct.
2. Find $\int x^2 \sin x \; dx$, and verify that your answer is correct.

[spoiler title=’Hint for question 2′ style=’blue’ collapse_link=’true’]You may find it helpful to use integration by parts twice.[/spoiler]