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Popular Calculus >

integral of 3sqrt(y)

Solution

\int 3 y d y

Solution

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

Solution steps

\int 3 y d y

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int y d y

Apply the Power Rule

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

Simplify

3 \cdot \frac{2}{3} y^{\frac{3}{2}} : 2 y^{\frac{3}{2}}

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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