What is the integral from 3 to 6 of 21-(x^2)/2 ?

The integral from 3 to 6 of 21-(x^2)/2 is 63/2

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integral from 3 to 6 of 21-(x^2)/2

\int_{3}^{6} 21 - \frac{x ^{2}}{2} d x

\frac{63}{2}

Decimal Notation

31.5

Solution steps

\int_{3}^{6} 21 - \frac{x ^{2}}{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}^{6} 21 d x - \int_{3}^{6} \frac{x ^{2}}{2} d x

\int_{3}^{6} 21 d x = 63

\int_{3}^{6} \frac{x ^{2}}{2} d x = \frac{63}{2}

= 63 - \frac{63}{2}

Simplify

63 - \frac{63}{2} : \frac{63}{2}

= \frac{63}{2}

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What is the integral from 3 to 6 of 21-(x^2)/2 ?
The integral from 3 to 6 of 21-(x^2)/2 is 63/2