Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
- Load more...
Expand the integral $\int\left(x^2+\frac{-x^2+1}{\sqrt[3]{x^3-3x+16}}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
Learn how to solve integrals of polynomial functions problems step by step online.
$\int x^2dx+\int\frac{-x^2+1}{\sqrt[3]{x^3-3x+16}}dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(x^2-(x^2-1)/((x^3-3x+16)^1/3))dx. Expand the integral \int\left(x^2+\frac{-x^2+1}{\sqrt[3]{x^3-3x+16}}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^2dx results in: \frac{x^{3}}{3}. The integral \int\frac{-x^2+1}{\sqrt[3]{x^3-3x+16}}dx results in: -\frac{1}{2}\sqrt[3]{\left(x^3-3x+16\right)^{2}}. Gather the results of all integrals.