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What is the integral of cos(x)dx?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the integral of cos(x)dx?
  • Step 1: Understand that we want to find the integral of cos(x) with respect to x.
  • Step 2: Recall that the integral of a function gives us another function whose derivative is the original function.
  • Step 3: Remember the basic rule that the derivative of sin(x) is cos(x).
  • Step 4: Since the derivative of sin(x) is cos(x), we can say that the integral of cos(x) is sin(x).
  • Step 5: Add a constant 'C' to the result because integrals can have an infinite number of solutions that differ by a constant.
  • Step 6: Therefore, the final answer is sin(x) + C.
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