What is the integral from 4 to 20 of sqrt(x+5) ?

The integral from 4 to 20 of sqrt(x+5) is 196/3

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integral from 4 to 20 of sqrt(x+5)

\int_{4}^{20} x + 5 d x

\frac{196}{3}

Decimal

65.33333 \dots

Solution steps

\int_{4}^{20} x + 5 d x

Apply u-substitution

: \int_{9}^{25} u d u

= \int_{9}^{25} u d u

Apply the Power Rule

: [\frac{2}{3} u^{\frac{3}{2}}]_{9}^{25}

= [\frac{2}{3} u^{\frac{3}{2}}]_{9}^{25}

Compute the boundaries:

\frac{196}{3}

= \frac{196}{3}

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What is the integral from 4 to 20 of sqrt(x+5) ?
The integral from 4 to 20 of sqrt(x+5) is 196/3