What is the integral of (5-1/(sqrt(x))) ?

The integral of (5-1/(sqrt(x))) is 5x-2sqrt(x)+C

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integral of (5-1/(sqrt(x)))

\int (5 - \frac{1}{x}) d x

5 x - 2 x + C

Solution steps

\int 5 - \frac{1}{x} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 5 d x - \int \frac{1}{x} d x

\int 5 d x = 5 x

\int \frac{1}{x} d x = 2 x

= 5 x - 2 x

Add a constant to the solution

= 5 x - 2 x + C

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What is the integral of (5-1/(sqrt(x))) ?
The integral of (5-1/(sqrt(x))) is 5x-2sqrt(x)+C