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Popular >

integral of 1/2 y

Solution

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

Solution

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

Solution steps

\int \frac{1}{2} y 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

(\partial)/(\partial x)(1/(sqrt(x^2)))

\frac{\partial}{\partial x} (\frac{1}{x ^{2}})

2x^2y^{''}+xy^'-y=0

2 x^{2} y^{^{''}} + x y^{^{'}} - y = 0

normal of y=x^4+3e^x,(0,3)normal of

y = x^{4} + 3 e^{x}, (0, 3)

derivative of (x^3-3)/(x^2+2)derivative of

\frac{x ^{3} - 3}{x ^{2} + 2}

integral from 1 to 5 of x

\int_{1}^{5} x d x

Frequently Asked Questions (FAQ)

What is the integral of 1/2 y ?
The integral of 1/2 y is (y^2)/4+C