What is the integral of 1/(sqrt(v)) ?

The integral of 1/(sqrt(v)) is 2sqrt(v)+C

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integral of 1/(sqrt(v))

\int \frac{1}{v} d v

2 v + C

Solution steps

\int \frac{1}{v} d v

Apply the Power Rule

: 2 v^{\frac{1}{2}}

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

Apply radical rule:

a^{\frac{1}{n}} = n a

= 2 v

Add a constant to the solution

= 2 v + C

\frac{2}{3 x ^{2}}

y^{^{'}} = \frac{y + x}{y - x}

y = \frac{3}{x}, y = \frac{3}{x ^{2}}, x = 7

\int \frac{1}{X} d X

f (x) = x + x + 1