Exercise
$\int-4\ln\left(2x^2\right)dx$
Step-by-step Solution
Learn how to solve integration by parts problems step by step online. Solve the integral of logarithmic functions int(-4ln(2x^2))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\ln\left(2x^2\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(-4ln(2x^2))dx
Final answer to the exercise
$-4x\ln\left|2x^2\right|+8x+C_0$