What is the integral from 0 to sqrt(3 of)(3-x^2) ?

The integral from 0 to sqrt(3 of)(3-x^2) is 2sqrt(3)

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integral from 0 to sqrt(3 of)(3-x^2)

\int_{0}^{3} (3 - x^{2}) d x

23

Decimal Notation

3.46410 \dots

Solution steps

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

\int_{0}^{3} 3 d x = 33

\int_{0}^{3} x^{2} d x = 3

= 33 - 3

Simplify

= 23

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What is the integral from 0 to sqrt(3 of)(3-x^2) ?
The integral from 0 to sqrt(3 of)(3-x^2) is 2sqrt(3)