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Popular Calculus >

integral of sqrt(1/y)

Solution

\int \frac{1}{y} d y

Solution

2 y + C

Solution steps

\int \frac{1}{y} d y

Simplify

\frac{1}{y} : \frac{1}{y}

= \int \frac{1}{y} d y

Simplify

= \int \frac{1}{y} d y

Apply the Power Rule

= 2 y^{\frac{1}{2}}

Apply radical rule:

= 2 y

Add a constant to the solution

= 2 y + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of sqrt(1/y) ?
The integral of sqrt(1/y) is 2sqrt(y)+C