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- Integrate using tabular integration
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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$\int-\frac{1}{3}\left(\frac{x^2}{2}-\frac{1}{2}\ln\left(1+x^2\right)\right)dx$
Learn how to solve problems step by step online. Integrate the function -1/3((x^2)/2-1/2ln(1+x^2)). Find the integral. The integral of a function times a constant (-0.3333) is equal to the constant times the integral of the function. Expand the integral \int\left(\frac{x^2}{2}-\frac{1}{2}\ln\left(1+x^2\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral -\frac{1}{3}\int\frac{x^2}{2}dx results in: -\frac{1}{18}x^{3}.