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$\int\left(\frac{1}{2}\ln\left(x-9\right)+\frac{1}{2}\ln\left(x\right)\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of 1/2ln(x-9)+1/2ln(x). Find the integral. Expand the integral \int\left(\frac{1}{2}\ln\left(x-9\right)+\frac{1}{2}\ln\left(x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{2}\ln\left(x-9\right)dx results in: \frac{1}{2}\left(\left(x-9\right)\ln\left(x-9\right)-x+9\right). Multiply the single term \frac{1}{2} by each term of the polynomial \left(x\ln\left(x\right)-x\right).