Final answer to the problem
$\frac{2\sqrt{y^{5}}}{5}+\frac{2\sqrt{y^{3}}}{3}+2\sqrt{y}+C_0$
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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
Applying the rule of the integral of a sum of functions
$\int\frac{y^2}{\sqrt{y}}dy+\int\frac{y}{\sqrt{y}}dy+\int\frac{1}{\sqrt{y}}dy$
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{y^2}{\sqrt{y}}dy+\int\frac{y}{\sqrt{y}}dy+\int\frac{1}{\sqrt{y}}dy$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((y^2+y+1)/(y^(1/2)))dy. Applying the rule of the integral of a sum of functions. Simplify the expression. The integral \int\sqrt{y^{3}}dy results in: \frac{2\sqrt{y^{5}}}{5}. The integral \int\sqrt{y}dy results in: \frac{2\sqrt{y^{3}}}{3}.
Final answer to the problem
$\frac{2\sqrt{y^{5}}}{5}+\frac{2\sqrt{y^{3}}}{3}+2\sqrt{y}+C_0$
