What is the integral from-11 to 11 of 121-x^2 ?

The integral from-11 to 11 of 121-x^2 is 5324/3

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integral from-11 to 11 of 121-x^2

\int_{- 11}^{11} 121 - x^{2} d x

\frac{5324}{3}

Decimal

1774.66666 \dots

Solution steps

\int_{- 11}^{11} 121 - x^{2} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 11}^{11} 121 d x - \int_{- 11}^{11} x^{2} d x

\int_{- 11}^{11} 121 d x = 2662

\int_{- 11}^{11} x^{2} d x = \frac{2662}{3}

= 2662 - \frac{2662}{3}

Simplify

2662 - \frac{2662}{3} : \frac{5324}{3}

= \frac{5324}{3}

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What is the integral from-11 to 11 of 121-x^2 ?
The integral from-11 to 11 of 121-x^2 is 5324/3