What is the integral from 0 to 3 of |x| ?

The integral from 0 to 3 of |x| is 9/2

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integral from 0 to 3 of |x|

\int_{0}^{3} ∣ x ∣ d x

\frac{9}{2}

Decimal

4.5

Solution steps

\int_{0}^{3} ∣ x ∣ d x

Eliminate Absolutes

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

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{3}

= [\frac{x ^{2}}{2}]_{0}^{3}

Compute the boundaries:

\frac{9}{2}

= \frac{9}{2}

\int_{0}^{2} (2 x^{2} y + 5 y^{4}) d x

\int_{- 1}^{1} \frac{x}{cos ( x )} d x

\int_{- 1}^{1} \frac{18}{( x + 2 ) ^{2}} d x

\int_{0}^{3} - 12 x d x

\int_{- 2}^{0} 3 x^{3} - 12 x d x

What is the integral from 0 to 3 of |x| ?
The integral from 0 to 3 of |x| is 9/2