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Popular >

integral of-6y

Solution

\int - 6 y d y

Solution

- 3 y^{2} + C

Solution steps

\int - 6 y d y

Take the constant out:

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

= - 6 \cdot \int y d y

Apply the Power Rule

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

= - 6 \cdot \frac{y ^{2}}{2}

Simplify

- 6 \cdot \frac{y ^{2}}{2} : - 3 y^{2}

= - 3 y^{2}

Add a constant to the solution

= - 3 y^{2} + C

Popular Examples

integral of x/(1+cos(x))

\int \frac{x}{1 + cos ( x )} d x

derivative of 1/x+x^2

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

derivative of f(x)= x/(x-3)derivative of

f (x) = \frac{x}{x - 3}

derivative of f(x)=(x^2+x-2)/(x^3+6)derivative of

f (x) = \frac{x ^{2} + x - 2}{x ^{3} + 6}

derivative of 2xsqrt(4-x^2)

\frac{d}{d x} (2 x 4 - x^{2})

Frequently Asked Questions (FAQ)

What is the integral of-6y ?
The integral of-6y is -3y^2+C