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Popular >

integral from-3 to 7 of |x|

Solution

\int_{- 3}^{7} ∣ x ∣ d x

Solution

29

Solution steps

\int_{- 3}^{7} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 3}^{0} - x d x + \int_{0}^{7} x d x

\int_{- 3}^{0} - x d x = \frac{9}{2}

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

= \frac{9}{2} + \frac{49}{2}

Simplify

\frac{9}{2} + \frac{49}{2} : 29

= 29

Graph

Popular Examples

integral from-2 to-1 of 1/(x^2+4x+5)

\int_{- 2}^{- 1} \frac{1}{x ^{2} + 4 x + 5} d x

integral from 0 to 1 of x^2cos(pi/2 x^3)

\int_{0}^{1} x^{2} cos (\frac{π}{2} x^{3}) d x

integral from 2 to 3 of 4^{3x}

\int_{2}^{3} 4^{3 x} d x

integral from 0 to y of e^{-t^2}

\int_{0}^{y} e^{- t^{2}} d t

integral from 0 to 1 of sin(t^2)

\int_{0}^{1} sin (t^{2}) d t

Frequently Asked Questions (FAQ)

What is the integral from-3 to 7 of |x| ?
The integral from-3 to 7 of |x| is 29