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Popular >

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

Solution

\int_{- 5}^{5} (5 - ∣ x ∣) d x

Solution

25

Solution steps

\int_{- 5}^{5} 5 - ∣ x ∣ d x

Eliminate Absolutes

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

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

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

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

Simplify

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

= 25

Graph

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\int_{0}^{1} \frac{8 t}{t ^{2} + 1} d t

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\int_{0}^{\frac{π}{2}} cos (x + y) d y

integral from-1 to 0 of x^2sqrt(1+x)

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

integral from 2 to 3 of 5^{4x}

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

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

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

Frequently Asked Questions (FAQ)

What is the integral from-5 to 5 of (5-|x|) ?
The integral from-5 to 5 of (5-|x|) is 25