Final answer to the problem
$\frac{6\sqrt{x^{5}}}{5}+\frac{-4\sqrt{x^{3}}}{3}+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
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- Integrate using tabular integration
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- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
Rewrite the integrand $\sqrt{x}\left(3x-2\right)$ in expanded form
$\int\left(3\sqrt{x^{3}}-2\sqrt{x}\right)dx$
Learn how to solve integrals with radicals problems step by step online.
$\int\left(3\sqrt{x^{3}}-2\sqrt{x}\right)dx$
Learn how to solve integrals with radicals problems step by step online. Integrate int(x^(1/2)(3x-2))dx. Rewrite the integrand \sqrt{x}\left(3x-2\right) in expanded form. Expand the integral \int\left(3\sqrt{x^{3}}-2\sqrt{x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int3\sqrt{x^{3}}dx results in: \frac{6\sqrt{x^{5}}}{5}. The integral \int-2\sqrt{x}dx results in: \frac{-4\sqrt{x^{3}}}{3}.
Final answer to the problem
$\frac{6\sqrt{x^{5}}}{5}+\frac{-4\sqrt{x^{3}}}{3}+C_0$
