Exercise
$\int\:ln\left(x^2-9x+20\right)dx$
Step-by-step Solution
Learn how to solve differential equations problems step by step online. Solve the integral of logarithmic functions int(ln(x^2-9x+20))dx. We can solve the integral \int\ln\left(x^2-9x+20\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 to find v.
Solve the integral of logarithmic functions int(ln(x^2-9x+20))dx
Final answer to the exercise
$x\ln\left|x^2-9x+20\right|-4\ln\left|x-4\right|-5\ln\left|x-5\right|-2x+C_0$