What is the integral from 1 to 10 of sqrt(x-1) ?

The integral from 1 to 10 of sqrt(x-1) is 18

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integral from 1 to 10 of sqrt(x-1)

\int_{1}^{10} x - 1 d x

18

Solution steps

\int_{1}^{10} x - 1 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 1 to 10 of sqrt(x-1) ?
The integral from 1 to 10 of sqrt(x-1) is 18