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Popular >

integral from-2 to 7 of (-|x|)

Solution

\int_{- 2}^{7} (- ∣ x ∣) d x

Solution

- \frac{53}{2}

+1

Decimal

- 26.5

Solution steps

\int_{- 2}^{7} - ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= - 2 - \frac{49}{2}

Simplify

- 2 - \frac{49}{2} : - \frac{53}{2}

= - \frac{53}{2}

Graph

Popular Examples

integral from 0 to 10 of-6.4(0.9^x)

\int_{0}^{10} - 6.4 (0. 9^{x}) d x

integral from 1 to y of 2/(y^3)

\int_{1}^{y} \frac{2}{y ^{3}} d y

integral from 0 to 3 of (6-2x)

\int_{0}^{3} (6 - 2 x) d x

integral from 0 to 1 of x^{1/3}-x^{1/2}

\int_{0}^{1} x^{\frac{1}{3}} - x^{\frac{1}{2}} d x

integral from 2 to 3 of (x+4)

\int_{2}^{3} (x + 4) d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 7 of (-|x|) ?
The integral from-2 to 7 of (-|x|) is -53/2