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Popular >

integral from-6 to 7 of |x|

Solution

\int_{- 6}^{7} ∣ x ∣ d x

Solution

\frac{85}{2}

+1

Decimal

42.5

Solution steps

\int_{- 6}^{7} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 6}^{0} - x d x + \int_{0}^{7} x d x

\int_{- 6}^{0} - x d x = 18

\int_{0}^{7} x d x = \frac{49}{2}

= 18 + \frac{49}{2}

Simplify

18 + \frac{49}{2} : \frac{85}{2}

= \frac{85}{2}

Graph

Popular Examples

integral from 0 to 1 of (2x)/((x^2+5)^3)

\int_{0}^{1} \frac{2 x}{( x ^{2} + 5 ) ^{3}} d x

integral from-2 to 3 of |4x(x-1)|

\int_{- 2}^{3} ∣ 4 x (x - 1) ∣ d x

integral from 0 to 2 of 2xe^{-x}

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

integral from 0 to 1 of e^{y^2}

\int_{0}^{1} e^{y^{2}} d y

integral from 2 to infinity of x^2ln(x)

\int_{2}^{\infty} x^{2} ln (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-6 to 7 of |x| ?
The integral from-6 to 7 of |x| is 85/2