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intsqrty(1-(1)/(y))dy

$\int \sqrt{y}\left(1-\frac{1}{y}\right) d y$

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Evaluate integers raised to rational exponents

Full solution

Q.

\int \sqrt{y}\left(1-\frac{1}{y}\right) d y

Identify integral: Identify the integral to be solved. $\newline$ $\int\sqrt{1 - \frac{1}{y}} \, dy$
Simplify expression: Simplify the expression under the square root. $\newline$ Let $u = 1 - \frac{1}{y}$ , then $du = \frac{1}{y^2} dy$
Substitute $u$ and $du$ : Substitute $u$ and $du$ into the integral. $\newline$ $\int \sqrt{u} \cdot y^{2} \, du$

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