What is the integral from 12 to 28 of sqrt(x-3) ?

The integral from 12 to 28 of sqrt(x-3) is 196/3

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integral from 12 to 28 of sqrt(x-3)

\int_{12}^{28} x - 3 d x

\frac{196}{3}

Decimal

65.33333 \dots

Solution steps

\int_{12}^{28} x - 3 d x

Apply u-substitution

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

Apply the Power Rule

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

Compute the boundaries:

\frac{196}{3}

= \frac{196}{3}

What is the integral from 12 to 28 of sqrt(x-3) ?
The integral from 12 to 28 of sqrt(x-3) is 196/3