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Popular >

integral of-8x

Solution

\int - 8 x d x

Solution

- 4 x^{2} + C

Solution steps

\int - 8 x d x

Take the constant out:

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

= - 8 \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= - 8 \cdot \frac{x ^{2}}{2}

Simplify

- 8 \cdot \frac{x ^{2}}{2} : - 4 x^{2}

= - 4 x^{2}

Add a constant to the solution

= - 4 x^{2} + C

Popular Examples

integral of (x^4cos(x))/8

\int \frac{x ^{4} cos ( x )}{8} d x

integral from 0 to 2 of (4x+5)e^{-x}

\int_{0}^{2} (4 x + 5) e^{- x} d x

derivative of (2x^2+2x+4/(sqrt(x)))

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

y^'=((xy+2y))/((x+3))

y^{^{'}} = \frac{( x y + 2 y )}{( x + 3 )}

integral of (4sqrt(x))

\int (4 x) d x

Frequently Asked Questions (FAQ)

What is the integral of-8x ?
The integral of-8x is -4x^2+C