Calculus 2 · Chapter 1 · Lesson 1.5 · Printable PDF · Free

Choosing an Integration Technique Worksheet with Answer Key

8 problems on choosing an integration technique. 2 pages, with a worked answer key and a one-page lesson handout. Free to download, no sign-in.

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Printable Choosing an integration technique worksheet with answer key - Calculus 2 (Page 1 PDF preview)
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What's on the worksheet

  1. Each integrand becomes a basic form after a rewrite (cancel a factor or use an identity).
    \displaystyle\int \dfrac{\sin 2x}{\cos x}\,dx\displaystyle\int \dfrac{\cos 2x}{\cos x - \sin x}\,dx\displaystyle\int \dfrac{e^{2x} - 1}{e^x - 1}\,dx
  2. Find dx1 + e^x by two routes.
  3. Find dxx(5 + √(x)) for x > 0.
  4. Each integral needs a substitution first and then integration by parts.
  5. Both integrals contain √(x² + 4).
  6. The function e^xx has no elementary antiderivative.
  7. Take $g
  8. Let $F

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