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$\int\ln\left(\frac{x}{x^2+1}\right)dx$
Learn how to solve problems step by step online. Find the integral of y=ln(x/(x^2+1)). Find the integral. The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. Expand the integral \int\left(\ln\left(x\right)-\ln\left(x^2+1\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\ln\left(x\right)dx results in: x\ln\left(x\right)-x.