What is the integral from 0 to sqrt(6 of)6-x^2 ?

The integral from 0 to sqrt(6 of)6-x^2 is 4sqrt(6)

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integral from 0 to sqrt(6 of)6-x^2

\int_{0}^{6} 6 - x^{2} d x

46

Decimal

9.79795 \dots

Solution steps

\int_{0}^{6} 6 - 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}^{6} 6 d x - \int_{0}^{6} x^{2} d x

\int_{0}^{6} 6 d x = 66

\int_{0}^{6} x^{2} d x = 26

= 66 - 26

Simplify

= 46

What is the integral from 0 to sqrt(6 of)6-x^2 ?
The integral from 0 to sqrt(6 of)6-x^2 is 4sqrt(6)