What is the integral of (-14+3/(sqrt(x))) ?

The integral of (-14+3/(sqrt(x))) is -14x+6sqrt(x)+C

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integral of (-14+3/(sqrt(x)))

\int (- 14 + \frac{3}{x}) d x

- 14 x + 6 x + C

Solution steps

\int - 14 + \frac{3}{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 14 d x + \int \frac{3}{x} d x

\int 14 d x = 14 x

\int \frac{3}{x} d x = 6 x

= - 14 x + 6 x

Add a constant to the solution

= - 14 x + 6 x + C

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What is the integral of (-14+3/(sqrt(x))) ?
The integral of (-14+3/(sqrt(x))) is -14x+6sqrt(x)+C