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$\int\left(\sec\left(x\right)+\tan\left(x\right)\right)\left(\sec\left(x\right)-\tan\left(x\right)\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of y=(sec(x)+tan(x))(sec(x)-tan(x)). Find the integral. Rewrite the integrand \left(\sec\left(x\right)+\tan\left(x\right)\right)\left(\sec\left(x\right)-\tan\left(x\right)\right) in expanded form. Expand the integral \int\left(\sec\left(x\right)^2-\tan\left(x\right)^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\sec\left(x\right)^2dx results in: \tan\left(x\right).