Finding the Integral of e^x


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question 1 of 3

If f(x) = e2x, the anti-derivative is _____.

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1. The series expansion for ex is 1 + x + x2/2! + .... The series expansion for e2x is _____.

2. Which of the following indefinite integrals of ex is true?

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About This Quiz & Worksheet

This quiz/worksheet will assess your comprehension of how to practice integrating e with the square root of x. Questions will cover topics like how to find an antiderivative and a series expansion.

Quiz & Worksheet Goals

Answer questions on these key points:

  • An indefinite integral of e
  • How to find a definite integral
  • A way of expressing a definite integral with an accuracy of 1 decimal place

Skills Practiced

  • Critical thinking - apply relevant concepts to examine information about square roots in a different light
  • Problem solving - use acquired knowledge to solve integrating e with the square root of x practice problems
  • Knowledge application - use your knowledge to answer questions about a definite and indefinite integral

Additional Learning

Use the lesson named Finding the Integral of e^x to learn more about these areas of study:

  • What an antiderivative is
  • Math notation for a factorial
  • The fundamental theorem of calculus and how it links integration and differentiation
  • What an improper integral is
  • How to define a 'limit' with regard to an integral