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Popular >

integral from-3 to 3 of |x+1|

Solution

\int_{- 3}^{3} ∣ x + 1 ∣ d x

Solution

10

Solution steps

\int_{- 3}^{3} ∣ x + 1 ∣ d x

Eliminate Absolutes

= \int_{- 3}^{- 1} - x - 1 d x + \int_{- 1}^{3} x + 1 d x

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

\int_{- 1}^{3} x + 1 d x = 8

= 2 + 8

Simplify

= 10

Graph

Popular Examples

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\int_{0}^{1} 5 x^{3} d x

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\int_{1}^{4} (\frac{3}{x}) d x

integral from 0 to 1 of x^2sqrt(1-x)

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

integral from 1 to 2 of (2x+1)/(12)

\int_{1}^{2} \frac{2 x + 1}{12} d x

integral from 2 to 5 of x^3-3x^2+x

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

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of |x+1| ?
The integral from-3 to 3 of |x+1| is 10