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What is the integral of e^x dx?

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Question: What is the integral of e^x dx?

Options:

  1. e^x + C
  2. e^x
  3. x e^x + C
  4. x e^x

Correct Answer: e^x + C

Solution: 

The integral of e^x is e^x + C, where C is the constant of integration.

What is the integral of e^x dx?

Practice Questions

Q1
What is the integral of e^x dx?
  1. e^x + C
  2. e^x
  3. x e^x + C
  4. x e^x

Questions & Step-by-Step Solutions

What is the integral of e^x dx?
  • Step 1: Understand that we want to find the integral of the function e^x with respect to x.
  • Step 2: Recall that the integral of e^x is a special case in calculus.
  • Step 3: Remember that the integral of e^x is simply e^x itself.
  • Step 4: Add a constant of integration, C, because there are infinitely many antiderivatives.
  • Step 5: Write the final answer as e^x + C.
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