What is the integral of (-15+2/(sqrt(x))) ?

The integral of (-15+2/(sqrt(x))) is -15x+4sqrt(x)+C

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integral of (-15+2/(sqrt(x)))

\int (- 15 + \frac{2}{x}) d x

- 15 x + 4 x + C

Solution steps

\int - 15 + \frac{2}{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 15 d x + \int \frac{2}{x} d x

\int 15 d x = 15 x

\int \frac{2}{x} d x = 4 x

= - 15 x + 4 x

Add a constant to the solution

= - 15 x + 4 x + C

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What is the integral of (-15+2/(sqrt(x))) ?
The integral of (-15+2/(sqrt(x))) is -15x+4sqrt(x)+C