Exercise
$\int x^3u^xdx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int(x^3u^x)dx. We can solve the integral \int x^3u^xdx 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.
Find the integral int(x^3u^x)dx
Final answer to the exercise
$\frac{u^x\cdot x^3}{\ln\left|u\right|}+\frac{-6u^x}{\ln\left|u\right|^{4}}+\frac{6u^x\cdot x}{\ln\left|u\right|^{3}}+\frac{-3u^x\cdot x^{2}}{\ln\left|u\right|^2}+C_0$