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How to Use Trigonometric Substitution to Solve Integrals

Instructions:

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question 1 of 3

Evaluate the following integral.

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1. Evaluate the following integral.

2. Evaluate the following integral.

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About This Quiz & Worksheet

Trigonometric substitution refers to the substitution of a function of x by a variable, and is often used to solve integrals. This worksheet and quiz will test you on evaluating integrals using this method.

Quiz & Worksheet Goals

These assessments will quiz you on:

  • Trigonometric functions
  • The substitution method
  • Solving for integrals

Skills Practiced

This combination of quiz and worksheet allows students to test the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on trigonometric substitution
  • Problem solving - use acquired knowledge to evaluate integrals in practice problems
  • Knowledge application - use your knowledge to solve integration problems
  • Interpreting information - verify that you can read information regarding methods of evaluating integrals and interpret it correctly

Additional Learning

For more about trigonometric substitution, review the accompanying lesson called How to Use Trigonometric Substitution to Solve Integrals. This lesson covers the following objectives:

  • Define indefinite integral
  • Solve integrals using tables
  • Learn how to integrate by parts
  • Evaluate integrals using Riemann Sums
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