Learn how to solve differential equations problems step by step online. Solve the integral of logarithmic functions int(((6-ln(x))^2)/x)dx. A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: (a-b)^2=a^2-2ab+b^2. Expand the fraction \frac{36-12\ln\left(x\right)+\ln\left(x\right)^2}{x} into 3 simpler fractions with common denominator x. Simplify the expression. The integral \int\frac{36}{x}dx results in: 36\ln\left(x\right).

Solve the integral of logarithmic functions int(((6-ln(x))^2)/x)dx