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$\int\left(\left(e^x-e^{-x}\right)^2-\left(e^x+e^{-x}\right)^2\right)dx$
Learn how to solve problems step by step online. Find the integral of (e^x-e^(-x))^2-(e^x+e^(-x))^2. Find the integral. Expand the integral \int\left(\left(e^x-e^{-x}\right)^2-\left(e^x+e^{-x}\right)^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\left(e^x-e^{-x}\right)^2dx results in: \int\frac{u^{4}-2u^{2}+1}{u^{3}}du. The integral \int-\left(e^x+e^{-x}\right)^2dx results in: -\int\frac{u^{4}+2u^{2}+1}{u^{3}}du.