Final answer to the problem
$x\tan\left(x\right)+\ln\left|\cos\left(x\right)\right|+C_0$
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Step-by-step Solution
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 x\sec\left(x\right)^2. 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 or choose u and calculate it's derivative, du. Now, identify dv and calculate v.
Final answer to the problem
$x\tan\left(x\right)+\ln\left|\cos\left(x\right)\right|+C_0$
