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Popular >

integral of (y^2)/3

Solution

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

Solution

\frac{y ^{3}}{9} + C

Solution steps

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

Take the constant out:

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

= \frac{1}{3} \cdot \int y^{2} d y

Apply the Power Rule

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

= \frac{1}{3} \cdot \frac{y ^{3}}{3}

Simplify

\frac{1}{3} \cdot \frac{y ^{3}}{3} : \frac{y ^{3}}{9}

= \frac{y ^{3}}{9}

Add a constant to the solution

= \frac{y ^{3}}{9} + C

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\frac{d}{d x} (x^{3} e^{x^{3}})

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\int (x + 5)^{7} d x

limit as x approaches 0 of (sin(ax))/x

x \to 0 lim (\frac{sin ( a x )}{x})

limit as x approaches pi/2 of-cot(x)+1

x \to \frac{π}{2} lim (- cot (x) + 1)

Frequently Asked Questions (FAQ)

What is the integral of (y^2)/3 ?
The integral of (y^2)/3 is (y^3)/9+C