What is the integral from 2 to 4 of sqrt(x-2) ?

The integral from 2 to 4 of sqrt(x-2) is (4sqrt(2))/3

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integral from 2 to 4 of sqrt(x-2)

\int_{2}^{4} x - 2 d x

\frac{4 2}{3}

Decimal

1.88561 \dots

Solution steps

\int_{2}^{4} x - 2 d x

Apply u-substitution

= \int_{0}^{2} u d u

Apply the Power Rule

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

Compute the boundaries:

\frac{4 2}{3}

= \frac{4 2}{3}

What is the integral from 2 to 4 of sqrt(x-2) ?
The integral from 2 to 4 of sqrt(x-2) is (4sqrt(2))/3