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$\int\frac{1+\tan\left(x\right)^2}{\csc\left(x\right)^2}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (1+tan(x)^2)/(csc(x)^2). Find the integral. Expand the fraction \frac{1+\tan\left(x\right)^2}{\csc\left(x\right)^2} into 2 simpler fractions with common denominator \csc\left(x\right)^2. Simplify the resulting fractions. Expand the integral \int\left(\sin\left(x\right)^2+\frac{\tan\left(x\right)^2}{\csc\left(x\right)^2}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.