What is the integral from-sqrt(3) to sqrt(3 of)3-x^2 ?

The integral from-sqrt(3) to sqrt(3 of)3-x^2 is 4sqrt(3)

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integral from-sqrt(3) to sqrt(3 of)3-x^2

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

43

Decimal

6.92820 \dots

Solution steps

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

\int_{- 3}^{3} 3 d x = 63

\int_{- 3}^{3} x^{2} d x = 23

= 63 - 23

Simplify

= 43

What is the integral from-sqrt(3) to sqrt(3 of)3-x^2 ?
The integral from-sqrt(3) to sqrt(3 of)3-x^2 is 4sqrt(3)