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

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

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integral from 2 to 3 of sqrt(x)

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

23 - \frac{4 2}{3}

Decimal

1.57848 \dots

Solution steps

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

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{2}^{3}

= [\frac{2}{3} x^{\frac{3}{2}}]_{2}^{3}

Compute the boundaries:

23 - \frac{4 2}{3}

= 23 - \frac{4 2}{3}

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

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

\int_{\frac{π}{4}}^{\frac{π}{3}} csc^{2} (x) d x

\int_{0}^{π} t d t

\int_{\frac{π}{4}}^{\frac{π}{3}} tan^{2} (x) d x

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