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Popular >

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

Popular Examples

integral from-10 to 8 of sqrt(80-2x-x^2)

\int_{- 10}^{8} 80 - 2 x - x^{2} d x

integral from 8 to 12 of ln(x/2-3)

\int_{8}^{12} ln (\frac{x}{2} - 3) d x

integral from 0 to pi of 5tan(x/3)

\int_{0}^{π} 5 tan (\frac{x}{3}) d x

integral from pi/3 to pi/2 of 1/(sin(x))

\int_{\frac{π}{3}}^{\frac{π}{2}} \frac{1}{sin ( x )} d x

integral from 0 to x of 1/3

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

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