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$\int\left(\ln\left(2x-1\right)-\ln\left(x-1\right)\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of ln(2x-1)-ln(x-1). Find the integral. Expand the integral \int\left(\ln\left(2x-1\right)-\ln\left(x-1\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\ln\left(2x-1\right)dx results in: \frac{1}{2}\left(\left(2x-1\right)\ln\left(2x-1\right)-2x+1\right). The integral \int-\ln\left(x-1\right)dx results in: -\left(\left(x-1\right)\ln\left(x-1\right)-x+1\right).