What is the integral from-11 to 11 of |10x|-(x^2-11) ?

The integral from-11 to 11 of |10x|-(x^2-11) is 1694/3

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integral from-11 to 11 of |10x|-(x^2-11)

\int_{- 11}^{11} ∣ 10 x ∣ - (x^{2} - 11) d x

\frac{1694}{3}

Decimal

564.66666 \dots

Solution steps

\int_{- 11}^{11} ∣ 10 x ∣ - (x^{2} - 11) d x

Eliminate Absolutes

= \int_{- 11}^{0} - 10 x - (x^{2} - 11) d x + \int_{0}^{11} 10 x - (x^{2} - 11) d x

\int_{- 11}^{0} - 10 x - (x^{2} - 11) d x = \frac{847}{3}

\int_{0}^{11} 10 x - (x^{2} - 11) d x = \frac{847}{3}

= \frac{847}{3} + \frac{847}{3}

Simplify

\frac{847}{3} + \frac{847}{3} : \frac{1694}{3}

= \frac{1694}{3}

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What is the integral from-11 to 11 of |10x|-(x^2-11) ?
The integral from-11 to 11 of |10x|-(x^2-11) is 1694/3