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Popular >

integral of (-4x)

Solution

\int (- 4 x) d x

Solution

- 2 x^{2} + C

Solution steps

\int - 4 x d x

Take the constant out:

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

= - 4 \cdot \int x d x

Apply the Power Rule

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

= - 4 \cdot \frac{x ^{2}}{2}

Simplify

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

= - 2 x^{2}

Add a constant to the solution

= - 2 x^{2} + C

Popular Examples

limit as x approaches-6+of (x+5)/(x+6)

x \to - 6 + lim (\frac{x + 5}{x + 6})

integral of (x^4)/4*1/x

\int \frac{x ^{4}}{4} \cdot \frac{1}{x} d x

y^'=t^2e^{-4t}-4y

y^{^{'}} = t^{2} e^{- 4 t} - 4 y

tangent of f(x)=4x(x^2-4x+5)^7,\at x=2 tangent of

f (x) = 4 x (x^{2} - 4 x + 5)^{7}, at x = 2

integral of (x^2-3)^4(2x)

\int (x^{2} - 3)^{4} (2 x) d x

Frequently Asked Questions (FAQ)

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