Indefinite Integral: Definition, Rules & Examples


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What does the notation mean?

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1. Suppose a particle is traveling with velocity function v(t) = 3t^2 + 6t + 7. Find the distance traveled by the particle as t ranges from 0 to 5. Assume the particle begins at position s = 0.

2. Evaluate

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About This Quiz & Worksheet

Using this quiz/worksheet combo, you can assess your understanding of indefinite integrals and their application in math. The quiz consists of practice problems that you'll need to interpret, solve and evaluate.

Quiz & Worksheet Goals

In these assessments, you'll be tested on problems involving:

  • Interpreting notation
  • Finding distance based on velocity function
  • Evaluating integrals
  • Finding exponents

Skills Practiced

This quiz and worksheet allow students to test the following skills:

  • Problem solving - use acquired knowledge to solve practice problems involving exponents and indefinite integrals
  • Interpreting information - verify that you can read information regarding integral notation and interpret it correctly
  • Knowledge application - use your knowledge to find correctly corresponding exponents

Additional Learning

To learn more about indefinite integrals and related principles in calculus, review the accompanying lesson titled Indefinite Integral: Definition, Rules & Examples. This lesson covers the following objectives:

  • Mathematically define indefinite integral
  • Know what the constant of integration is
  • Define velocity
  • Understand how to use indefinite integrals to calculate distance traveled
  • Familiarize yourself with the rules of finding antiderivatives
  • Differentiate between the constant multiple rule and the power rule