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Popular >

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

Solution

\int_{- 3}^{3} 3 - ∣ x ∣ d x

Solution

9

Solution steps

\int_{- 3}^{3} 3 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 3}^{0} 3 - (- x) d x + \int_{0}^{3} 3 - x d x

\int_{- 3}^{0} 3 - (- x) d x = \frac{9}{2}

\int_{0}^{3} 3 - x d x = \frac{9}{2}

= \frac{9}{2} + \frac{9}{2}

Simplify

\frac{9}{2} + \frac{9}{2} : 9

= 9

Graph

Popular Examples

integral from 0 to 4 of 8-2x

\int_{0}^{4} 8 - 2 x d x

integral from 0 to 1 of (1-y)y^n

\int_{0}^{1} (1 - y) y^{n} d y

integral from pi/8 to pi/4 of 3csc^2(2x)

\int_{\frac{π}{8}}^{\frac{π}{4}} 3 csc^{2} (2 x) d x

integral from 3 to infinity of xln(x)

\int_{3}^{\infty} x ln (x) d x

integral from 0 to y of y^2e^{xy}

\int_{0}^{y} y^{2} e^{x y} d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of 3-|x| ?
The integral from-3 to 3 of 3-|x| is 9