Exercise
$\int7x^3lnxdx$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the integral of logarithmic functions int(7x^3ln(x))dx. The integral of a function times a constant (7) is equal to the constant times the integral of the function. We can solve the integral \int x^3\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(7x^3ln(x))dx
Final answer to the exercise
$\frac{7}{4}x^{4}\ln\left|x\right|+\frac{-7x^{4}}{16}+C_0$