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Understanding Trigonometric Substitution

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

Evaluate the integral.

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1. Evaluate the integral.

2. Evaluate the integral.

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About This Quiz & Worksheet

Using this quiz and attached worksheet, you can evaluate how well you understand substitution based on right triangles. The quiz will also assess your understanding of concepts like evaluating integrals.

Quiz & Worksheet Goals

Use these assessment tools to:

  • Evaluate the given integral problems
  • Use trigonometric substitution
  • Practice manipulating different types of integrals

Skills Practiced

This worksheet and quiz let you practice the following skills:

  • Critical thinking - apply relevant concepts to examine information about trig substitutions in a different light
  • Problem solving - use acquired knowledge to solve trig identity practice problems
  • Interpreting information - verify that you can read information regarding functions and square roots and interpret it correctly
  • Knowledge application - use your knowledge to answer questions about integrals

Additional Learning

To learn more about understanding trigonometric substitution, review the lesson that covers the following objectives:

  • Define trig substitution
  • Use right triangles to exemplify substitution formula
  • Calculate equations using square roots and functions
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