What is the integral of sqrt(2y) ?

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

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integral of sqrt(2y)

\int 2 y d y

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

Solution steps

\int 2 y d y

Apply Integration By Parts

= 2 y y - \int \frac{y}{2} d y

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

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

Add a constant to the solution

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

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