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Popular >

integral from-4 to 0 of-x^2-4x

Solution

\int_{- 4}^{0} - x^{2} - 4 x d x

Solution

\frac{32}{3}

+1

Decimal

10.66666 \dots

Solution steps

\int_{- 4}^{0} - x^{2} - 4 x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int_{- 4}^{0} x^{2} d x - \int_{- 4}^{0} 4 x d x

\int_{- 4}^{0} x^{2} d x = \frac{64}{3}

\int_{- 4}^{0} 4 x d x = - 32

= - \frac{64}{3} - (- 32)

Simplify

- \frac{64}{3} - (- 32) : \frac{32}{3}

= \frac{32}{3}

Graph

Popular Examples

integral from 1 to 2 of 6/x

\int_{1}^{2} \frac{6}{x} d x

integral from-2 to 2 of x(x^2-4)

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

integral from-1 to infinity of e^{-x}

\int_{- 1}^{\infty} e^{- x} d x

integral from 2 to x of (3-x)/2

\int_{2}^{x} \frac{3 - x}{2} d x

integral from-pi/3 to (5pi)/6 of sin(x)

\int_{- \frac{π}{3}}^{\frac{5 π}{6}} sin (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 0 of-x^2-4x ?
The integral from-4 to 0 of-x^2-4x is 32/3