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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

integral of (2x)/(1+x)

\int \frac{2 x}{1 + x} d x

limit as x approaches 2pi of x(csc(x))

x \to 2 π lim (x (csc (x)))

integral from 0 to 1 of (2x^2+1)

\int_{0}^{1} (2 x^{2} + 1) d x

f(x)=(7-x^3)^{2/3}

f (x) = (7 - x^{3})^{\frac{2}{3}}

y^{^{'}} - y = 2 x - 3

Frequently Asked Questions (FAQ)

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