Find the integral ∫ (1/x) dx.

Practice Questions

Q1
Find the integral ∫ (1/x) dx.
  1. ln
  2. x
  3. + C
  4. x + C

Questions & Step-by-Step Solutions

Find the integral ∫ (1/x) dx.
  • Step 1: Identify the function you want to integrate, which is 1/x.
  • Step 2: Recall the rule for integrating 1/x, which states that the integral of 1/x is the natural logarithm of the absolute value of x.
  • Step 3: Write down the result of the integral as ln|x|.
  • Step 4: Add a constant C to the result, since the integral can have many solutions that differ by a constant.
  • Integration of Rational Functions – This concept involves finding the integral of functions that can be expressed as a ratio of polynomials, specifically focusing on the natural logarithm for the function 1/x.
  • Properties of Logarithms – Understanding the properties of logarithms, particularly the absolute value in ln|x|, is crucial for correctly expressing the integral.
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