What is the integral from 0 to 5 of sqrt(y+4) ?

The integral from 0 to 5 of sqrt(y+4) is 38/3

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integral from 0 to 5 of sqrt(y+4)

\int_{0}^{5} y + 4 d y

\frac{38}{3}

Decimal Notation

12.66666 \dots

Solution steps

\int_{0}^{5} y + 4 d y

Apply u-substitution

: \int_{4}^{9} u d u

= \int_{4}^{9} u d u

Apply the Power Rule

: [\frac{2}{3} u^{\frac{3}{2}}]_{4}^{9}

= [\frac{2}{3} u^{\frac{3}{2}}]_{4}^{9}

Compute the boundaries:

\frac{38}{3}

= \frac{38}{3}

y^{^{'}} - (\frac{7}{8}) y = - \frac{7}{8} e^{- 7 x} y^{9}

2 c

\frac{d y}{d x} = \frac{5 x \cdot sec ( \frac{y}{x} ) + y}{x}

\frac{d y}{d x} + 12 y = 14

x \to 1 lim (2 x^{3} - 3 x^{2} + x + 2)

What is the integral from 0 to 5 of sqrt(y+4) ?
The integral from 0 to 5 of sqrt(y+4) is 38/3