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.