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What is the integral of 1/x? (2022)

Practice Questions

Q1
What is the integral of 1/x? (2022)
  1. ln
  2. x
  3. + C
  4. 1/x + C

Questions & Step-by-Step Solutions

What is the integral of 1/x? (2022)
  • Step 1: Understand that we want to find the integral of the function 1/x.
  • Step 2: Recall that the integral is the opposite of the derivative. We need to find a function whose derivative is 1/x.
  • Step 3: Remember that the derivative of the natural logarithm function, ln(x), is 1/x for x > 0.
  • Step 4: Since the function 1/x is defined for both positive and negative values of x (except at x = 0), we use the absolute value: ln|x|.
  • Step 5: Add a constant 'C' to the result because the integral can have many functions that differ by a constant.
  • Step 6: Conclude that the integral of 1/x is ln|x| + C.
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