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

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

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integral of e^x-2/(sqrt(x))

\int e^{x} - \frac{2}{x} d x

e^{x} - 4 x + C

Solution steps

\int e^{x} - \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 e^{x} d x - \int \frac{2}{x} d x

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

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

= e^{x} - 4 x

Add a constant to the solution

= e^{x} - 4 x + C

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