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Popular >

integral from-5 to 3 of |x|

Solution

\int_{- 5}^{3} ∣ x ∣ d x

Solution

17

Solution steps

\int_{- 5}^{3} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 5}^{0} - x d x + \int_{0}^{3} x d x

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

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

= \frac{25}{2} + \frac{9}{2}

Simplify

\frac{25}{2} + \frac{9}{2} : 17

= 17

Popular Examples

integral from 0 to 1 of (8x+1)/(x^2-x-6)

\int_{0}^{1} \frac{8 x + 1}{x ^{2} - x - 6} d x

integral from 0 to 1 of 1/(e^{2x+1)-1}

\int_{0}^{1} \frac{1}{e ^{2 x + 1} - 1} d x

integral from 0 to x of cos(x+y+z)

\int_{0}^{x} cos (x + y + z) d z

integral from-1 to 2 of (x^3-7x)

\int_{- 1}^{2} (x^{3} - 7 x) d x

integral from 0 to pi/2 of x*sin(2x)

\int_{0}^{\frac{π}{2}} x \cdot sin (2 x) d x

Frequently Asked Questions (FAQ)

What is the integral from-5 to 3 of |x| ?
The integral from-5 to 3 of |x| is 17