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Popular Calculus >

integral from-2 to 3 of |2x|x

Solution

\int_{- 2}^{3} ∣ 2 x ∣ x d x

Solution

\frac{38}{3}

+1

Decimal

12.66666 \dots

Solution steps

\int_{- 2}^{3} ∣ 2 x ∣ x d x

Eliminate Absolutes

= \int_{- 2}^{0} (- 2 x) x d x + \int_{0}^{3} 2 xx d x

\int_{- 2}^{0} (- 2 x) x d x = - \frac{16}{3}

\int_{0}^{3} 2 xx d x = 18

= - \frac{16}{3} + 18

Simplify

- \frac{16}{3} + 18 : \frac{38}{3}

= \frac{38}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of |2x|x ?
The integral from-2 to 3 of |2x|x is 38/3