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Popular >

integral from-1 to 6 of |x|

Solution

\int_{- 1}^{6} ∣ x ∣ d x

Solution

\frac{37}{2}

+1

Decimal Notation

18.5

Solution steps

\int_{- 1}^{6} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 1}^{0} - x d x + \int_{0}^{6} x d x

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

\int_{0}^{6} x d x = 18

= \frac{1}{2} + 18

Simplify

\frac{1}{2} + 18 : \frac{37}{2}

= \frac{37}{2}

Popular Examples

integral from 0 to 3 of 5x^2

\int_{0}^{3} 5 x^{2} d x

integral from 0 to 1 of (x^2-4x+8)

\int_{0}^{1} (x^{2} - 4 x + 8) d x

integral from 0 to 2 of sqrt(5-x^2)

\int_{0}^{2} 5 - x^{2} d x

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

\int_{- 1}^{0} (x^{2} - 2 x) d x

integral from 0 to 1 of 1/(x^2-36)

\int_{0}^{1} \frac{1}{x ^{2} - 36} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 6 of |x| ?
The integral from-1 to 6 of |x| is 37/2