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