What is the integral from 0 to 8 of sqrt(x+1) ?

The integral from 0 to 8 of sqrt(x+1) is 52/3

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integral from 0 to 8 of sqrt(x+1)

\int_{0}^{8} x + 1 d x

\frac{52}{3}

Decimal

17.33333 \dots

Solution steps

\int_{0}^{8} x + 1 d x

Apply u-substitution

= \int_{1}^{9} u d u

Apply the Power Rule

= [\frac{2}{3} u^{\frac{3}{2}}]_{1}^{9}

Compute the boundaries:

\frac{52}{3}

= \frac{52}{3}

What is the integral from 0 to 8 of sqrt(x+1) ?
The integral from 0 to 8 of sqrt(x+1) is 52/3