Integrals - Exercise set 1

This exercise set contains some solved exercises on integration. You can find a review of integration rules in the lecture entitled Integrals - Review.

Exercise 1.1

Compute the following integral:

Hint: perform two integrations by parts.

Solution

Exercise 1.2

Use Leibniz integral rule to compute the derivative with respect to of the following integral:

Solution

Exercise 1.3

Compute the following integral:

Solution