What is the integral of (1/(sqrt(x))-2) ?

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

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integral of (1/(sqrt(x))-2)

\int (\frac{1}{x} - 2) d x

2 x - 2 x + C

Solution steps

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

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

\int 2 d x = 2 x

= 2 x - 2 x

Add a constant to the solution

= 2 x - 2 x + C

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\int \frac{e ^{x}}{x} d x

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