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Popular >

integral of y/3

Solution

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

Solution

\frac{y ^{2}}{6} + C

Solution steps

\int \frac{y}{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 d y

Apply the Power Rule

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

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

Simplify

\frac{1}{3} \cdot \frac{y ^{2}}{2} : \frac{y ^{2}}{6}

= \frac{y ^{2}}{6}

Add a constant to the solution

= \frac{y ^{2}}{6} + C

Popular Examples

derivative of 1/(\sqrt[3]{x^2+1})

inverse oflaplace 2/(s^2)*e^{-s}inverse laplace

\frac{2}{s ^{2}} \cdot e^{- s}

f^'(x)= 3/4*(1-x^2)

f^{^{'}} (x) = \frac{3}{4} \cdot (1 - x^{2})

derivative of sqrt(x^2+6x+3)

\frac{d}{d x} (x^{2} + 6 x + 3)

derivative of 3x^2-12x+9

\frac{d}{d x} (3 x^{2} - 12 x + 9)

Frequently Asked Questions (FAQ)

What is the integral of y/3 ?
The integral of y/3 is (y^2)/6+C