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Evaluate
i).
quadint_(2)^(6)(sqrt(x-2))/(x)dx

Evaluate $\newline$ i). $\quad \int_{2}^{6} \frac{\sqrt{x-2}}{x} d x$

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Evaluate rational exponents

Full solution

Q. Evaluate

\newline

i).

\quad \int_{2}^{6} \frac{\sqrt{x-2}}{x} d x

Identify Integral: Identify the integral to be solved. $\int_{2}^{6} \frac{\sqrt{x-2}}{x} \, dx$
Change Limits: Let $u = x - 2$ , then $du = dx$ and when $x = 2$ , $u = 0$ and when $x = 6$ , $u = 4$ . Change the limits of integration.
Substitute $u$ : Substitute $u$ into the integral and adjust the limits. $\newline$ $\int_{0}^{4} \frac{\sqrt{u}}{u+2} \, du$
Try Substitution: This integral looks complicated, let's try a substitution. Let's try $u = (x-2)$ , then $du = dx$ , but we already did this step, so this is a mistake.

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