Solving the Integral of cos(2x) Video


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question 1 of 3

For what functions do we use integration by substitution to integrate?

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1. When using integration by substitution to find the integral of f(g(x)), what do we let u equal?

2. When finding the integral of cos(2x), we use integration by substitution. The first step is to make a u-substitution. What do we let u equal in the first step?

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About This Quiz & Worksheet

Try this multiple-choice quiz to answer questions about the integral of cos(2x). The quiz will ask you about integration by substitution, function variables, derivatives and more.

Quiz & Worksheet Goals

To successfully pass the quiz, you'll be required to:

  • Identify the type of functions that are integrated through integration by substitution
  • Know what u equals in an example function
  • Decide what u equals during the first step of finding the integral of cos(2x)
  • Find the integral of cos(2x)
  • Calculate the derivative of (1/2)sine(2x)

Skills Practiced

The quiz helps you practice the following skills:

  • Problem solving - use acquired knowledge to solve the integral of cos(2x)
  • Reading comprehension - make sure you take away the most important information from the related integration by substitution lesson
  • Information recall - access knowledge you've gained regarding variables within functions

Additional Learning

Solving the Integral of cos(2x) is a related lesson that goes into more detail about these trigonometry concepts. After working through the lesson, you should be able to:

  • Define the integration by substitution method
  • Learn how to check your work after finding the integral of cos(2x)
  • Understand the chain rule for derivatives