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Popular >

integral from-3 to 3 of (5-|x|)

Solution

\int_{- 3}^{3} (5 - ∣ x ∣) d x

Solution

21

Solution steps

\int_{- 3}^{3} 5 - ∣ x ∣ d x

Eliminate Absolutes

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

\int_{- 3}^{0} 5 - (- x) d x = \frac{21}{2}

\int_{0}^{3} 5 - x d x = \frac{21}{2}

= \frac{21}{2} + \frac{21}{2}

Simplify

\frac{21}{2} + \frac{21}{2} : 21

= 21

Graph

Popular Examples

integral from 0 to 4 of (-2x^2+8x)

\int_{0}^{4} (- 2 x^{2} + 8 x) d x

integral from 2 to 4 of x/6

\int_{2}^{4} \frac{x}{6} d x

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

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

integral from-1 to 2 of [(x+2)-(x^2)]

\int_{- 1}^{2} [(x + 2) - (x^{2})] d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of (5-|x|) ?
The integral from-3 to 3 of (5-|x|) is 21