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How should I solve this problem?
- 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
- FOIL Method
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Take the constant $\frac{1}{3}$ out of the integral
Learn how to solve integrals of rational functions problems step by step online.
$\frac{1}{3}\int\frac{\left(\sqrt{x}-1\right)^2}{\sqrt{x}}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(((x^1/2-1)^2)/(3x^1/2))dx. Take the constant \frac{1}{3} out of the integral. Rewrite the integrand \frac{\left(\sqrt{x}-1\right)^2}{\sqrt{x}} in expanded form. Expand the integral \int\left(\frac{x}{\sqrt{x}}-2+\frac{1}{\sqrt{x}}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. Simplify the fraction by x.