Exercise
$\int\:\left(x^4-x^2+\frac{1}{x^3}-\frac{1}{x^2}\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Integrate int(x^4-x^21/(x^3)-1/(x^2))dx. Expand the integral \int\left(x^4-x^2+\frac{1}{x^3}+\frac{-1}{x^2}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^4dx results in: \frac{x^{5}}{5}. The integral \int-x^2dx results in: \frac{-x^{3}}{3}. The integral \int\frac{1}{x^3}dx results in: \frac{1}{-2x^{2}}.
Integrate int(x^4-x^21/(x^3)-1/(x^2))dx
Final answer to the exercise
$\frac{x^{5}}{5}+\frac{-x^{3}}{3}+\frac{1}{-2x^{2}}+\frac{1}{x}+C_0$