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

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

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integral from 2 to 3 of sqrt(x-2)

\int_{2}^{3} x - 2 d x

\frac{2}{3}

Decimal

0.66666 \dots

Solution steps

\int_{2}^{3} x - 2 d x

Apply u-substitution

: \int_{0}^{1} u d u

= \int_{0}^{1} u d u

Apply the Power Rule

: [\frac{2}{3} u^{\frac{3}{2}}]_{0}^{1}

= [\frac{2}{3} u^{\frac{3}{2}}]_{0}^{1}

Compute the boundaries:

\frac{2}{3}

= \frac{2}{3}

\int_{1}^{2} 2^{4 x} d x

\int_{- 1}^{5} 3 x^{2} + 4 x d x

\int_{0}^{2} x^{3} 9 x^{4} + 1 d x

\int_{0}^{5} \frac{1}{( x - 3 ) ^{2}} d x

\int_{1}^{3} x^{2} - x d x

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