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Popular >

integral from-7 to 7 of (7-|x|)

Solution

\int_{- 7}^{7} (7 - ∣ x ∣) d x

Solution

49

Solution steps

\int_{- 7}^{7} 7 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 7}^{0} 7 - (- x) d x + \int_{0}^{7} 7 - x d x

\int_{- 7}^{0} 7 - (- x) d x = \frac{49}{2}

\int_{0}^{7} 7 - x d x = \frac{49}{2}

= \frac{49}{2} + \frac{49}{2}

Simplify

\frac{49}{2} + \frac{49}{2} : 49

= 49

Graph

Popular Examples

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\int_{0}^{1} 1 + x^{3} x^{2} d x

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

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\int_{1}^{2} \frac{e ^{x}}{x ^{2}} d x

integral from 0 to t of x^2-3x+2

\int_{0}^{t} x^{2} - 3 x + 2 d x

integral from 0 to 1 of 2-x-y

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

Frequently Asked Questions (FAQ)

What is the integral from-7 to 7 of (7-|x|) ?
The integral from-7 to 7 of (7-|x|) is 49