Final answer to the problem
$9\ln\left|x\right|-\frac{1}{2}x^2+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
Cancel exponents $2$ and $1$
$\int\frac{9-x^2}{x}dx$
Learn how to solve classify algebraic expressions problems step by step online. Find the integral int((9-x^2)/(x^2^(1/2)))dx. Cancel exponents 2 and 1. Expand the fraction \frac{9-x^2}{x} into 2 simpler fractions with common denominator x. Simplify the resulting fractions. Expand the integral \int\left(\frac{9}{x}-x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.
Final answer to the problem
$9\ln\left|x\right|-\frac{1}{2}x^2+C_0$
