MathsYears 12–13Pure Mathematics

Integration

Integrate functions; find definite integrals and areas under curves; integration by substitution and parts

What you'll learn

  1. 1

    Integration is like adding up tiny slices to find the total area under a curve.

  2. 2

    What does integration help us find?

  3. 3

    Think of the area under this curve as lots of thin rectangles stacked together.

  4. 4

    Integrate 2x from x=0 to x=3.

  5. 5

    Drag the slider to add more rectangles under the curve — watch the area get more accurate!

  6. 6

    What is the integral of 3x²?

  7. 7

    If you integrate from x=1 to x=4, what do you do with the result?

Practise Integration with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 16–18. Aligned to the UK National Curriculum.