Exercise
$\int6x\cdot sec^2\:\left(24x\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int(6xsec(24x)^2)dx. The integral of a function times a constant (6) is equal to the constant times the integral of the function. We can solve the integral \int x\sec\left(24x\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.
Find the integral int(6xsec(24x)^2)dx
Final answer to the exercise
$\frac{1}{4}x\tan\left(24x\right)+\frac{1}{96}\ln\left|\cos\left(24x\right)\right|+C_0$