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Popular >

integral of-6x

Solution

\int - 6 x d x

Solution

- 3 x^{2} + C

Solution steps

\int - 6 x d x

Take the constant out:

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

= - 6 \cdot \int x d x

Apply the Power Rule

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

Simplify

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

= - 3 x^{2}

Add a constant to the solution

= - 3 x^{2} + C

Graph

Popular Examples

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\frac{\partial}{\partial x} (\frac{1}{sin ( x )})

(\partial)/(\partial y)(3x-x^2y^2+2x^3y)

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integral of 1/(3+4x^2)

\int \frac{1}{3 + 4 x ^{2}} d x

derivative of y=e^{x+2}derivative of

y = e^{x + 2}

sum from n=4 to infinity of (3/4)^{-n}

n = 4 \sum \infty (\frac{3}{4})^{- n}

Frequently Asked Questions (FAQ)

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