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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the integral of 1/x with respect to x? (2022)
  • 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 a function gives us the area under the curve of that function.
  • Step 3: Recognize that the function 1/x is a common integral that has a known result.
  • Step 4: The result of the integral of 1/x is the natural logarithm of the absolute value of x, written as ln|x|.
  • Step 5: Add a constant 'C' to the result because when we integrate, we always include a constant to account for any vertical shifts in the function.
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