Final answer to the problem
$\frac{2\sqrt{x^{3}}}{3}+12\sqrt{x}+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
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- Weierstrass Substitution
- Integrate using trigonometric identities
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- Product of Binomials with Common Term
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1
Expand the fraction $\frac{x+6}{\sqrt{x}}$ into $2$ simpler fractions with common denominator $\sqrt{x}$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{x}{\sqrt{x}}+\frac{6}{\sqrt{x}}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x+6)/(x^(1/2)))dx. Expand the fraction \frac{x+6}{\sqrt{x}} into 2 simpler fractions with common denominator \sqrt{x}. Simplify the expression. The integral \int\sqrt{x}dx results in: \frac{2\sqrt{x^{3}}}{3}. The integral \int\frac{6}{\sqrt{x}}dx results in: 12\sqrt{x}.
Final answer to the problem
$\frac{2\sqrt{x^{3}}}{3}+12\sqrt{x}+C_0$
