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Popular >

integral from-4 to 3 of |x+3|

Solution

\int_{- 4}^{3} ∣ x + 3 ∣ d x

Solution

\frac{37}{2}

+1

Decimal

18.5

Solution steps

\int_{- 4}^{3} ∣ x + 3 ∣ d x

Eliminate Absolutes

= \int_{- 4}^{- 3} - x - 3 d x + \int_{- 3}^{3} x + 3 d x

\int_{- 4}^{- 3} - x - 3 d x = \frac{1}{2}

\int_{- 3}^{3} x + 3 d x = 18

= \frac{1}{2} + 18

Simplify

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

= \frac{37}{2}

Graph

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\int_{11}^{30} - 0.8 x + 30 d x

Frequently Asked Questions (FAQ)

What is the integral from-4 to 3 of |x+3| ?
The integral from-4 to 3 of |x+3| is 37/2