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Popular >

integral from-5 to 5 of 4-|x|

Solution

\int_{- 5}^{5} 4 - ∣ x ∣ d x

Solution

15

Solution steps

\int_{- 5}^{5} 4 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 5}^{0} 4 - (- x) d x + \int_{0}^{5} 4 - x d x

\int_{- 5}^{0} 4 - (- x) d x = \frac{15}{2}

\int_{0}^{5} 4 - x d x = \frac{15}{2}

= \frac{15}{2} + \frac{15}{2}

Simplify

\frac{15}{2} + \frac{15}{2} : 15

= 15

Graph

Popular Examples

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

\int_{- 4}^{l n (\frac{3}{4})} 4 e^{x} - 3 d x

integral from 0 to 3 of 1/(x+4)

\int_{0}^{3} \frac{1}{x + 4} d x

integral from 1 to 4 of k/x

\int_{1}^{4} \frac{k}{x} d x

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

\int_{1}^{3} \frac{1}{x ^{5}} d x

integral from 0 to sqrt(4-y^2-z^2 of)1

\int_{0}^{4 - y^{2} - z^{2}} 1 d x

Frequently Asked Questions (FAQ)

What is the integral from-5 to 5 of 4-|x| ?
The integral from-5 to 5 of 4-|x| is 15