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Popular >

integral from-2 to 4 of x|x-3|

Solution

\int_{- 2}^{4} x ∣ x - 3 ∣ d x

Solution

- \frac{7}{3}

+1

Decimal

- 2.33333 \dots

Solution steps

\int_{- 2}^{4} x ∣ x - 3 ∣ d x

Eliminate Absolutes

= \int_{- 2}^{3} x (- x + 3) d x + \int_{3}^{4} x (x - 3) d x

\int_{- 2}^{3} x (- x + 3) d x = - \frac{25}{6}

\int_{3}^{4} x (x - 3) d x = \frac{11}{6}

= - \frac{25}{6} + \frac{11}{6}

Simplify

- \frac{25}{6} + \frac{11}{6} : - \frac{7}{3}

= - \frac{7}{3}

Graph

Popular Examples

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\int_{0}^{\frac{π}{2}} cos (x) + 1 d x

integral from 1 to 2 of (z+2/z)*(z-2/z)

\int_{1}^{2} (z + \frac{2}{z}) \cdot (z - \frac{2}{z}) d z

integral from 0 to 1 of xsqrt(35x^2+1)

\int_{0}^{1} x 35 x^{2} + 1 d x

integral from 0 to 2 of (-x^3+2x^2+x)

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

integral from 0 to 9 of x/(sqrt(36+5x))

\int_{0}^{9} \frac{x}{36 + 5 x} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 4 of x|x-3| ?
The integral from-2 to 4 of x|x-3| is -7/3