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What is the integral of sin(x) dx? (2021)

Practice Questions

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

Questions & Step-by-Step Solutions

What is the integral of sin(x) dx? (2021)
  • Step 1: Understand that we want to find the integral of sin(x) with respect to x.
  • Step 2: Recall that the integral of a function gives us a new function whose derivative is the original function.
  • Step 3: Remember the derivative of cos(x) is -sin(x). This means that the integral of sin(x) must be -cos(x).
  • Step 4: Add a constant 'C' to the result because when we integrate, we include an arbitrary constant.
  • Step 5: Write the final answer as -cos(x) + C.
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