What is the integral from 3 to 12 of sqrt(x-3) ?

The integral from 3 to 12 of sqrt(x-3) is 18

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integral from 3 to 12 of sqrt(x-3)

\int_{3}^{12} x - 3 d x

18

Solution steps

\int_{3}^{12} x - 3 d x

Apply u-substitution

: \int_{0}^{9} u d u

= \int_{0}^{9} u d u

Apply the Power Rule

: [\frac{2}{3} u^{\frac{3}{2}}]_{0}^{9}

= [\frac{2}{3} u^{\frac{3}{2}}]_{0}^{9}

Compute the boundaries:

18

= 18

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What is the integral from 3 to 12 of sqrt(x-3) ?
The integral from 3 to 12 of sqrt(x-3) is 18