What is the integral of y^2sqrt(y) ?

The integral of y^2sqrt(y) is 2/7 y^{7/2}+C

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integral of y^2sqrt(y)

\int y^{2} y d y

\frac{2}{7} y^{\frac{7}{2}} + C

Solution steps

\int y^{2} y d y

Simplify

y^{2} y : y^{\frac{5}{2}}

= \int y^{\frac{5}{2}} d y

Apply the Power Rule

: \frac{2}{7} y^{\frac{7}{2}}

= \frac{2}{7} y^{\frac{7}{2}}

Add a constant to the solution

= \frac{2}{7} y^{\frac{7}{2}} + C

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- \frac{3}{x}

\frac{d}{d x} (2 x sin (x) + cos (x) x^{2})

What is the integral of y^2sqrt(y) ?
The integral of y^2sqrt(y) is 2/7 y^{7/2}+C