Exercise
$\int\:64x\:\csc^2\left(4x\right)dx$
Step-by-step Solution
Learn how to solve equivalent expressions problems step by step online. Find the integral int(64xcsc(4x)^2)dx. The integral of a function times a constant (64) is equal to the constant times the integral of the function. We can solve the integral \int x\csc\left(4x\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(64xcsc(4x)^2)dx
Final answer to the exercise
$-16x\cot\left(4x\right)+4\ln\left|\sin\left(4x\right)\right|+C_0$