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$\int\left(1+\frac{1}{x}\right)\left(1+\frac{-1}{x}\right)dx$
Learn how to solve problems step by step online. Find the integral of (1+1/x)(1+-1/x). Find the integral. Rewrite the integrand \left(1+\frac{1}{x}\right)\left(1+\frac{-1}{x}\right) in expanded form. Expand the integral \int\left(1+\frac{-1}{x}+\frac{1}{x}+\frac{-1}{x^2}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int1dx results in: x.