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Popular >

integral from-5 to 5 of |x|

Solution

\int_{- 5}^{5} ∣ x ∣ d x

Solution

25

Solution steps

\int_{- 5}^{5} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 5}^{0} - x d x + \int_{0}^{5} x d x

\int_{- 5}^{0} - x d x = \frac{25}{2}

\int_{0}^{5} x d x = \frac{25}{2}

= \frac{25}{2} + \frac{25}{2}

Simplify

\frac{25}{2} + \frac{25}{2} : 25

= 25

Graph

Popular Examples

tangent of f(x)=-2x^2+3 tangent of

f (x) = - 2 x^{2} + 3

x^{^{''}} - 5 x = 0

2 5^{^{'}}

(\partial)/(\partial x)(3(x-y)e^{3y+3x^2})

\frac{\partial}{\partial x} (3 (x - y) e^{3 y + 3 x^{2}})

derivative of (5x+4/(5x-4))

\frac{d}{d x} (\frac{5 x + 4}{5 x - 4})

Frequently Asked Questions (FAQ)

What is the integral from-5 to 5 of |x| ?
The integral from-5 to 5 of |x| is 25