Exercise
$\int\:4x^{-4}ln\left(x\right)dx$
Step-by-step Solution
Learn how to solve integration by parts problems step by step online. Solve the integral of logarithmic functions int(4x^(-4)ln(x))dx. The integral of a function times a constant (4) is equal to the constant times the integral of the function. We can solve the integral \int x^{-4}\ln\left(x\right)dx 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.
Solve the integral of logarithmic functions int(4x^(-4)ln(x))dx
Final answer to the exercise
$\frac{-12\ln\left|x\right|-4}{9x^{3}}+C_0$