Exercise
$\int\left(\frac{x^3+6x^2-x}{x}\right)dx$
Step-by-step Solution
Learn how to solve quadratic equations problems step by step online. Find the integral int((x^3+6x^2-x)/x)dx. Expand the fraction \frac{x^3+6x^2-x}{x} into 3 simpler fractions with common denominator x. Simplify the resulting fractions. Expand the integral \int\left(x^{2}+6x-1\right)dx into 3 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+6x^2-x)/x)dx
Final answer to the exercise
$\frac{x^{3}}{3}+3x^2-x+C_0$