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Popular >

integral from-6 to 1 of |x+4|

Solution

\int_{- 6}^{1} ∣ x + 4 ∣ d x

Solution

\frac{29}{2}

+1

Decimal

14.5

Solution steps

\int_{- 6}^{1} ∣ x + 4 ∣ d x

Eliminate Absolutes

= \int_{- 6}^{- 4} - x - 4 d x + \int_{- 4}^{1} x + 4 d x

\int_{- 6}^{- 4} - x - 4 d x = 2

\int_{- 4}^{1} x + 4 d x = \frac{25}{2}

= 2 + \frac{25}{2}

Simplify

2 + \frac{25}{2} : \frac{29}{2}

= \frac{29}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-6 to 1 of |x+4| ?
The integral from-6 to 1 of |x+4| is 29/2