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$\int\sin\left(x\right)\left(\sec\left(x\right)+\csc\left(x\right)\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of sin(x)(sec(x)+csc(x)). Find the integral. Rewrite the integrand \sin\left(x\right)\left(\sec\left(x\right)+\csc\left(x\right)\right) in expanded form. Expand the integral \int\left(\sec\left(x\right)\sin\left(x\right)+1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Applying the trigonometric identity: \sin\left(\theta \right)\sec\left(\theta \right) = \tan\left(\theta \right).