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Popular >

integral of y/4

Solution

\int \frac{y}{4} d y

Solution

\frac{y ^{2}}{8} + C

Solution steps

\int \frac{y}{4} d y

Take the constant out:

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

= \frac{1}{4} \cdot \int y d y

Apply the Power Rule

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

= \frac{1}{4} \cdot \frac{y ^{2}}{2}

Simplify

\frac{1}{4} \cdot \frac{y ^{2}}{2} : \frac{y ^{2}}{8}

= \frac{y ^{2}}{8}

Add a constant to the solution

= \frac{y ^{2}}{8} + C

Graph

Popular Examples

integral of 3x^2-2xy

\int 3 x^{2} - 2 x y d x

integral of ((2x^2+1))/x

\int \frac{( 2 x ^{2} + 1 )}{x} d x

derivative of sech^2(x-1)

\frac{d}{d x} (sech^{2} (x - 1))

y^{''}-4y^'+7y=xe^x

y^{^{''}} - 4 y^{^{'}} + 7 y = x e^{x}

derivative of f(x)=sqrt(1/(x^{31))}derivative of

f (x) = \frac{1}{x ^{31}}

Frequently Asked Questions (FAQ)

What is the integral of y/4 ?
The integral of y/4 is (y^2)/8+C