What is the integral of sqrt(x-5) ?

The integral of sqrt(x-5) is 2/3 (x-5)^{3/2}+C

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integral of sqrt(x-5)

\int x - 5 d x

\frac{2}{3} (x - 5)^{\frac{3}{2}} + C

Solution steps

\int x - 5 d x

Apply u-substitution

= \int u d u

Apply the Power Rule

= \frac{2}{3} u^{\frac{3}{2}}

Substitute back

u = x - 5

= \frac{2}{3} (x - 5)^{\frac{3}{2}}

Add a constant to the solution

= \frac{2}{3} (x - 5)^{\frac{3}{2}} + C

x \to 1 lim ((1 - \frac{5}{x})^{x})

d er i v a t i v e (8 x + 5) (x^{2} - 3 x)

l a pl a ce t r an s f or m {(cos (3 t) - 9)^{2}}

y^{^{'}} + \frac{1}{20} y = 0

x \to 1 lim (- x^{4} - 4 x^{2})

What is the integral of sqrt(x-5) ?
The integral of sqrt(x-5) is 2/3 (x-5)^{3/2}+C