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Popular >

integral from-3 to 4 of |x+2|

Solution

\int_{- 3}^{4} ∣ x + 2 ∣ d x

Solution

\frac{37}{2}

+1

Solution steps

\int_{- 3}^{4} ∣ x + 2 ∣ d x

Eliminate Absolutes

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

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

\int_{- 2}^{4} x + 2 d x = 18

= \frac{1}{2} + 18

Simplify

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

= \frac{37}{2}

Popular Examples

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\int_{0}^{l n (π)} e^{x} cos (e^{x}) d x

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\int_{0}^{x} sin^{2} (x) d x

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\int_{2}^{8} ∣ sin (x) ∣ d x

integral from 2 to 4 of 4^{2x}

\int_{2}^{4} 4^{2 x} d x

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\int_{0}^{z} \frac{z}{x ^{2} + z ^{2}} d x

Frequently Asked Questions (FAQ)

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