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Popular >

integral of-y/2

Solution

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

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 2x^2+3x-2

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

integral of 1/(sqrt(9x^2-12x-5))

\int \frac{1}{9 x ^{2} - 12 x - 5} d x

integral of-e^{-(x^2)/2}

\int - e^{- \frac{x ^{2}}{2}} d x

integral of (2x+5)/(x^3-x^2-12x)

\int \frac{2 x + 5}{x ^{3} - x ^{2} - 12 x} d x

integral of sec^2(10x+7)

\int sec^{2} (10 x + 7) d x

Frequently Asked Questions (FAQ)

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