Integration using partial fractions

What you'll learn

1. 1

   Imagine you have a big fraction like 5/(x² - 4). You can split it into two smaller, simpler fractions — like cutting a pizza into slices!

2. 2

   Why do we split a fraction into partial fractions?

3. 3

   Let's split 5/(x² - 4) into partial fractions step by step.

4. 4

   Now you try: For 3/(x² - 1), what is the first step?

5. 5

   Drag the correct values of A and B into the boxes for 5/(x² - 4).

6. 6

   Now integrate: ∫ [5/(x - 2) + (-5)/(x + 2)] dx

7. 7

   What is the integral of 1/(x - 2)?