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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

Graph

Popular Examples

integral from 1 to 3 of ((x^3-1)/(x^4))

\int_{1}^{3} (\frac{x ^{3} - 1}{x ^{4}}) d x

integral from 3 to 5 of 4x^2

\int_{3}^{5} 4 x^{2} d x

integral from 0 to pi of e^xcox(x)

\int_{0}^{π} e^{x} co x (x) d x

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

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

integral from 0.1 to 1 of 1/x

\int_{0.1}^{1} \frac{1}{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