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Popular Calculus >

integral from-2 to 4 of |x|

Solution

\int_{- 2}^{4} ∣ x ∣ d x

Solution

10

Solution steps

\int_{- 2}^{4} ∣ x ∣ d x

Eliminate Absolutes

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

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

\int_{0}^{4} x d x = 8

= 2 + 8

Simplify

= 10

Graph

Popular Examples

\frac{d y}{d x} = x e^{y}

derivative of f(x)=(2+x+8x^3)/(x^4)

d er i v a t i v e f (x) = \frac{2 + x + 8 x ^{3}}{x ^{4}}

integral of y/(1+y^2)

\int \frac{y}{1 + y ^{2}} d y

(\partial)/(\partial x)(20sin(4x)cos(2y))

\frac{\partial}{\partial x} (20 sin (4 x) cos (2 y))

limit as h approaches 0 of ((e^h-1))/h

h \to 0 lim (\frac{( e ^{h} - 1 )}{h})

Frequently Asked Questions (FAQ)

What is the integral from-2 to 4 of |x| ?
The integral from-2 to 4 of |x| is 10