Integration by substitution

What you'll learn

1. 1

   Imagine you have a tricky puzzle where changing the letters makes it easy. That's substitution!

2. 2

   What do we do first in substitution?

3. 3

   Let's do ∫ 2x(x²+1)⁵ dx together.

4. 4

   Try ∫ 3x²(x³+2)⁴ dx. Let u = x³+2 first.

5. 5

   If u = x³+2, what is du?

6. 6

   What about ∫ sin(x) cos(x) dx? Let u = sin(x).

7. 7

   ∫ 2x e^(x²) dx with u = x² gives what?