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What is the integral of 1/x dx?

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Question: What is the integral of 1/x dx?

Options:

  1. ln
  2. x
  3. + C
  4. x + C
  5. 1/x + C
  6. x^2/2 + C

Correct Answer: ln

Solution: 

The integral of 1/x dx is ln|x| + C.

What is the integral of 1/x dx?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the integral of 1/x dx?
  • Step 1: Understand that we want to find the integral of the function 1/x with respect to x.
  • Step 2: Recall that the integral of 1/x is a special case in calculus.
  • Step 3: The result of the integral of 1/x is the natural logarithm of the absolute value of x, which is written as ln|x|.
  • Step 4: Since we are finding an indefinite integral, we need to add a constant of integration, which we denote as C.
  • Step 5: Therefore, the final answer is ln|x| + C.
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