Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by trigonometric substitution
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Rewrite the integrand $\frac{\left(x-1\right)^3}{\sqrt{x}}$ in expanded form
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\sqrt{x^{5}}-3\sqrt{x^{3}}+\frac{3x}{\sqrt{x}}+\frac{-1}{\sqrt{x}}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(((x-1)^3)/(x^1/2))dx. Rewrite the integrand \frac{\left(x-1\right)^3}{\sqrt{x}} in expanded form. Expand the integral \int\left(\sqrt{x^{5}}-3\sqrt{x^{3}}+\frac{3x}{\sqrt{x}}+\frac{-1}{\sqrt{x}}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. Simplify the expression inside the integral. The integral \int\sqrt{x^{5}}dx results in: \frac{2}{7}\sqrt{x^{7}}.