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Find ∫ e^x dx. (2022)

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Question: Find ∫ e^x dx. (2022)

Options:

  1. e^x + C
  2. e^x
  3. x e^x + C
  4. ln(e^x) + C

Correct Answer: e^x + C

Solution:

The integral of e^x is e^x + C.

Find ∫ e^x dx. (2022)

Practice Questions

Q1
Find ∫ e^x dx. (2022)
  1. e^x + C
  2. e^x
  3. x e^x + C
  4. ln(e^x) + C

Questions & Step-by-Step Solutions

Find ∫ e^x dx. (2022)
  • Step 1: Identify the function you want to integrate, which is e^x.
  • Step 2: Recall the rule for integrating e^x, which states that the integral of e^x is e^x itself.
  • Step 3: Add a constant of integration, C, to the result because indefinite integrals have an arbitrary constant.
  • Step 4: Write the final answer as e^x + C.
  • Integration of Exponential Functions – The integral of the exponential function e^x is a fundamental concept in calculus, where the result is the same function plus a constant of integration.
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