Integration by parts

What you'll learn

1. 1

   Integration by parts is like the product rule for derivatives, but backwards. Think of it as undoing a product of two functions.

2. 2

   What does integration by parts help us do?

3. 3

   Let's integrate ∫ x eˣ dx together. We'll use the LIATE rule to choose u and dv.

4. 4

   Now you try: set up ∫ x cos(x) dx. Choose u and dv using LIATE.

5. 5

   For ∫ x² ln(x) dx, using LIATE, what should u be?

6. 6

   Complete the integration: ∫ x sin(x) dx. Follow the steps we did together.

7. 7

   What is the result of ∫ x sin(x) dx?