What is the integral of y/(sqrt(y)) ?

The integral of y/(sqrt(y)) is 2/3 y^{3/2}+C

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integral of y/(sqrt(y))

\int \frac{y}{y} d y

\frac{2}{3} y^{\frac{3}{2}} + C

Solution steps

\int \frac{y}{y} d y

Simplify

\frac{y}{y} : y

= \int y d y

Apply the Power Rule

= \frac{2}{3} y^{\frac{3}{2}}

Add a constant to the solution

= \frac{2}{3} y^{\frac{3}{2}} + C

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What is the integral of y/(sqrt(y)) ?
The integral of y/(sqrt(y)) is 2/3 y^{3/2}+C