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Popular Calculus >

integral from-1 to 3 of |4-x^2|

Solution

\int_{- 1}^{3} 4 - x^{2} d x

Solution

\frac{34}{3}

+1

Decimal

11.33333 \dots

Solution steps

\int_{- 1}^{3} 4 - x^{2} d x

Eliminate Absolutes

= \int_{- 1}^{2} 4 - x^{2} d x + \int_{2}^{3} - 4 + x^{2} d x

\int_{- 1}^{2} 4 - x^{2} d x = 9

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

= 9 + \frac{7}{3}

Simplify

9 + \frac{7}{3} : \frac{34}{3}

= \frac{34}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of |4-x^2| ?
The integral from-1 to 3 of |4-x^2| is 34/3