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Popular >

integral from-3 to 3 of |x|

Solution

\int_{- 3}^{3} ∣ x ∣ d x

Solution

9

Solution steps

\int_{- 3}^{3} ∣ x ∣ d x

Eliminate Absolutes

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

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

\int_{0}^{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 of (4e^{2x})/(e^{2x)+12e^x+32}

\int \frac{4 e ^{2 x}}{e ^{2 x} + 12 e ^{x} + 32} d x

integral of (2x^2-3x+4)/(2x-7)

\int \frac{2 x ^{2} - 3 x + 4}{2 x - 7} d x

integral of (x^6-x^3+1)/(x^4+9x^2)

\int \frac{x ^{6} - x ^{3} + 1}{x ^{4} + 9 x ^{2}} d x

limit as x approaches infinity of (log_{4}(x))/(log_{9)(x)}

x \to \infty lim (\frac{lo g _{4} ( x )}{lo g _{9} ( x )})

integral from 1 to 5 of sqrt(x-1)

\int_{1}^{5} x - 1 d x

Frequently Asked Questions (FAQ)

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