Exercise
$\int\frac{x^{3\:}}{x-1}dx$
Step-by-step Solution
Learn how to solve limits by direct substitution problems step by step online. Find the integral int((x^3)/(x-1))dx. Divide x^3 by x-1. Resulting polynomial. Expand the integral \int\left(x^{2}+x+1+\frac{1}{x-1}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^{2}dx results in: \frac{x^{3}}{3}.
Find the integral int((x^3)/(x-1))dx
Final answer to the exercise
$\frac{x^{3}}{3}+\frac{1}{2}x^2+x+\ln\left|x-1\right|+C_0$