What is the integral from 1 to 3 of sqrt(x+2) ?

The integral from 1 to 3 of sqrt(x+2) is (10sqrt(5))/3-2sqrt(3)

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integral from 1 to 3 of sqrt(x+2)

\int_{1}^{3} x + 2 d x

\frac{10 5}{3} - 23

Decimal Notation

3.98945 \dots

Solution steps

\int_{1}^{3} x + 2 d x

Apply u-substitution

: \int_{3}^{5} u d u

= \int_{3}^{5} u d u

Apply the Power Rule

: [\frac{2}{3} u^{\frac{3}{2}}]_{3}^{5}

= [\frac{2}{3} u^{\frac{3}{2}}]_{3}^{5}

Compute the boundaries:

\frac{10 5}{3} - 23

= \frac{10 5}{3} - 23

\frac{d}{d t} (\frac{t ^{2}}{2})

\frac{d}{d x} (e^{(x^{2} - x)})

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

\int 7 + 6 x - x^{2} d x

\frac{d y}{d x} = 2 e^{x}

What is the integral from 1 to 3 of sqrt(x+2) ?
The integral from 1 to 3 of sqrt(x+2) is (10sqrt(5))/3-2sqrt(3)