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Popular >

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}}

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

Apply radical rule:

= 2 y

Add a constant to the solution

= 2 y + C

Popular Examples

integral of xln(x^{-1})

\int x ln (x^{- 1}) d x

integral of (x^3-1)/(x^2+x)

\int \frac{x ^{3} - 1}{x ^{2} + x} d x

integral of (6x^2+2x)

\int (6 x^{2} + 2 x) d x

integral of 2sqrt(x)(1+x^2)

\int 2 x (1 + x^{2}) d x

integral of 2sin((pix)/2)

\int 2 sin (\frac{π x}{2}) d x

Frequently Asked Questions (FAQ)

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