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Popular >

integral from-1 to 4 of |x|

Solution

\int_{- 1}^{4} ∣ x ∣ d x

Solution

\frac{17}{2}

+1

Decimal Notation

8.5

Solution steps

\int_{- 1}^{4} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 1}^{0} - x d x + \int_{0}^{4} x d x

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

\int_{0}^{4} x d x = 8

= \frac{1}{2} + 8

Simplify

\frac{1}{2} + 8 : \frac{17}{2}

= \frac{17}{2}

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y = 2 x^{2}, y^{2} = \frac{1}{2} x

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 4 of |x| ?
The integral from-1 to 4 of |x| is 17/2