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Popular Calculus >

integral from-5 to 5 of |x+3|

Solution

\int_{- 5}^{5} ∣ x + 3 ∣ d x

Solution

34

Solution steps

\int_{- 5}^{5} ∣ x + 3 ∣ d x

Eliminate Absolutes

= \int_{- 5}^{- 3} - x - 3 d x + \int_{- 3}^{5} x + 3 d x

\int_{- 5}^{- 3} - x - 3 d x = 2

\int_{- 3}^{5} x + 3 d x = 32

= 2 + 32

Simplify

= 34

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-5 to 5 of |x+3| ?
The integral from-5 to 5 of |x+3| is 34