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Popular >

integral from-1 to 3 of |3x-x^2|

Solution

\int_{- 1}^{3} 3 x - x^{2} d x

Solution

\frac{19}{3}

+1

Decimal

6.33333 \dots

Solution steps

\int_{- 1}^{3} 3 x - x^{2} d x

Eliminate Absolutes

= \int_{- 1}^{0} - 3 x + x^{2} d x + \int_{0}^{3} 3 x - x^{2} d x

\int_{- 1}^{0} - 3 x + x^{2} d x = \frac{11}{6}

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

= \frac{11}{6} + \frac{9}{2}

Simplify

\frac{11}{6} + \frac{9}{2} : \frac{19}{3}

= \frac{19}{3}

Graph

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

integral from 0 to 1 of 3/2 x^2

\int_{0}^{1} \frac{3}{2} x^{2} d x

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\int_{0}^{5} 2 π (y) (y^{2}) d y

integral from 1 to infinity of xsin(2x)

\int_{1}^{\infty} x sin (2 x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of |3x-x^2| ?
The integral from-1 to 3 of |3x-x^2| is 19/3