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Integrate powers

Grade 12

What this lesson shows

The integral of x to the power 4. Integrating is differentiating run backwards, so the question is really: what would I have to differentiate to GET x to the power 4?

Try it yourself

Real questions from this lesson's worksheets — answers below each one.

  1. Which is an antiderivative of 3x²?
    Show answer
    x³
  2. True or false: ∫ x⁸ dx = x⁹ + C
    Show answer
    False
  3. ∫ x dx
    Show answer
    x²/2 + C
  4. d/dx 8x⁴
    Show answer
    32x³

Practise this every day

Eduyro gives your child a short daily worksheet on exactly this skill, and moves them on only once they have it. Watch the lesson, then build the fluency.

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