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Popular >

integral of y/2

Solution

integral

\frac{y}{2}

Solution

\frac{y ^{2}}{4} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

= \frac{y ^{2}}{4} + C

Popular Examples

integral of (cos(x))/2 integral

\frac{cos ( x )}{2}

integral of sin(2x-y)integral

sin (2 x - y)

integral of x/((1-x^3))integral

\frac{x}{( 1 - x ^{3} )}

integral of ((x+7))/((x^2-6x+34))integral

\frac{( x + 7 )}{( x ^{2} - 6 x + 34 )}

integral of (1-x)^n integral

(1 - x)^{n}

Frequently Asked Questions (FAQ)

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