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Popular Calculus >

integral from 0 to 3 of |4-x^2|

Solution

\int_{0}^{3} 4 - x^{2} d x

Solution

\frac{23}{3}

+1

Decimal

7.66666 \dots

Solution steps

\int_{0}^{3} 4 - x^{2} d x

Eliminate Absolutes

= \int_{0}^{2} 4 - x^{2} d x + \int_{2}^{3} - 4 + x^{2} d x

\int_{0}^{2} 4 - x^{2} d x = \frac{16}{3}

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

= \frac{16}{3} + \frac{7}{3}

Simplify

\frac{16}{3} + \frac{7}{3} : \frac{23}{3}

= \frac{23}{3}

Graph

Popular Examples

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integral from-1 to 2 of (x^2+x)(3x+1)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of |4-x^2| ?
The integral from 0 to 3 of |4-x^2| is 23/3