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Find the integral of e^(2x) dx.

Practice Questions

Q1
Find the integral of e^(2x) dx.
  1. (1/2)e^(2x) + C
  2. 2e^(2x) + C
  3. e^(2x) + C
  4. (1/2)e^(x) + C

Questions & Step-by-Step Solutions

Find the integral of e^(2x) dx.
  • Step 1: Identify the function to integrate, which is e^(2x).
  • Step 2: Recognize that the integral of e^(kx) is (1/k)e^(kx) + C, where k is a constant.
  • Step 3: In this case, k is 2 because we have e^(2x).
  • Step 4: Apply the formula: the integral of e^(2x) is (1/2)e^(2x) + C.
  • Step 5: Write down the final answer: (1/2)e^(2x) + C.
  • Integration of Exponential Functions – This concept involves finding the integral of functions of the form e^(kx), where k is a constant.
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