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What is the integral of cos(2x) dx? (2021)

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Question: What is the integral of cos(2x) dx? (2021)

Options:

  1. (1/2)sin(2x) + C
  2. sin(2x) + C
  3. (1/2)cos(2x) + C
  4. 2sin(2x) + C

Correct Answer: (1/2)sin(2x) + C

Solution: 

The integral of cos(2x) is (1/2)sin(2x) + C.

What is the integral of cos(2x) dx? (2021)

Practice Questions

Q1
What is the integral of cos(2x) dx? (2021)
  1. (1/2)sin(2x) + C
  2. sin(2x) + C
  3. (1/2)cos(2x) + C
  4. 2sin(2x) + C

Questions & Step-by-Step Solutions

What is the integral of cos(2x) dx? (2021)
  • Step 1: Identify the function to integrate, which is cos(2x).
  • Step 2: Recall the integral formula for cos(kx), which is (1/k)sin(kx) + C, where k is a constant.
  • Step 3: In our case, k is 2 because we have cos(2x).
  • Step 4: Apply the formula: The integral of cos(2x) is (1/2)sin(2x) + C.
  • Step 5: Write down the final answer: (1/2)sin(2x) + C.
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