What is the integral from-1 to 34 of sqrt(x+2) ?

The integral from-1 to 34 of sqrt(x+2) is 430/3

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integral from-1 to 34 of sqrt(x+2)

\int_{- 1}^{34} x + 2 d x

\frac{430}{3}

Decimal

143.33333 \dots

Solution steps

\int_{- 1}^{34} x + 2 d x

Apply u-substitution

: \int_{1}^{36} u d u

= \int_{1}^{36} u d u

Apply the Power Rule

: [\frac{2}{3} u^{\frac{3}{2}}]_{1}^{36}

= [\frac{2}{3} u^{\frac{3}{2}}]_{1}^{36}

Compute the boundaries:

\frac{430}{3}

= \frac{430}{3}

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What is the integral from-1 to 34 of sqrt(x+2) ?
The integral from-1 to 34 of sqrt(x+2) is 430/3