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Popular >

integral of-5y

Solution

\int - 5 y d y

Solution

- \frac{5 y ^{2}}{2} + C

Solution steps

\int - 5 y d y

Take the constant out:

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

= - 5 \cdot \int y d y

Apply the Power Rule

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

= - 5 \cdot \frac{y ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{5 y ^{2}}{2}

Add a constant to the solution

= - \frac{5 y ^{2}}{2} + C

Graph

Popular Examples

integral of cos(4x)x

\int cos (4 x) x d x

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

\int \frac{x ^{3}}{( 3 - 2 x ) ^{5}} d x

integral of 4/((x^3+4x))

\int \frac{4}{( x ^{3} + 4 x )} d x

integral of (2x)/(sqrt(9+x^2))

\int \frac{2 x}{9 + x ^{2}} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral of-5y ?
The integral of-5y is -(5y^2)/2+C