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Since $\cos$ is the reciprocal of $\sec$, $\frac{x}{\cos\left(x\right)^2}$ is equivalent to
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$\int x\sec\left(x\right)^2dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(x/(cos(x)^2))dx. Since \cos is the reciprocal of \sec, \frac{x}{\cos\left(x\right)^2} is equivalent to . We can solve the integral \int x\sec\left(x\right)^2dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v.