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Lesson Packs · Grade 12 · Mathematics

Antiderivatives and Indefinite Integrals

Students learn what an antiderivative is and why an indefinite integral always includes a constant C. They integrate powers, reciprocals, exponential and trigonometric functions term by term, and use an initial condition to find a particular antiderivative.

MathematicsGrade 12Unit 4 · Lesson 12G12-MAT-12
Slide 1
Antiderivatives and Indefinite Integrals — Slide 1
+34in the download
39slides: lesson, examples and worksheet
11worksheet questions
33marks in total
3 + 4worksheet + answer key pages

Learning objectives

  • Explain what an antiderivative is and why every indefinite integral ∫ f(x) dx = F(x) + C includes a constant C.
  • Integrate xⁿ (n ≠ −1), 1/x, eˣ, sin x, cos x and sec² x, using linearity to integrate sums term by term.
  • Use an initial condition such as F(a) = b to find the value of C and a particular antiderivative.

What's inside

  • 39 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 11 worksheet questions (33 marks) with step-by-step solutions
  • Printable worksheet (3 pages) and a teacher answer key
  • Fully editable in PowerPoint, Google Slides, Keynote and Word

More lessons in Unit 4

All Grade 12 Mathematics lessons

Questions teachers ask

Can I edit the files?

Yes. The PowerPoint and the Word worksheet are fully editable, so you can change examples, add questions or adapt the design for your class.

How do I use the worksheet slides?

After the teaching slides, each worksheet question appears on its own slide. Let students try it first, then show the next slide and work through the solution together.

Is there an answer key?

Yes. The Word file ends with a teacher answer key that has the answer and a worked solution for every question. It is also included as a separate PDF.

Which languages are available?

Every Lesson Pack is made in 18 languages: English, Simplified Chinese, Hindi, Spanish, Arabic, French, Bengali, Portuguese, Indonesian, Urdu, Vietnamese, Albanian, Italian, German, Turkish, Malay, Greek and Traditional Chinese (Hong Kong).

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