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This video discusses finding the indefinite integral of logarithmic functions, specifically the integral of log base 4 of x. The formula for integrating log base a of u is u times log base a u divided by e (where e is a constant) divided by u prime, but this formula only works if u is a linear function like 5x or 3x + 4. In the example given, u = x, a = 4, and u prime = 1, so the answer is x log base 4 of x over e. This formula simplifies the process of finding the integral of log base 4 of x.