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

\frac{\partial}{\partial x} (sin (x + x y + z^{2}))

\frac{\partial}{\partial x} (y^{4} cos (5 x))

\int_{5}^{8} \frac{1}{9 + ( x - 5 ) ^{2}} d x

n = 1 \sum \infty 2^{n + 1} - 2^{n}

n = 0 \sum \infty (sin (8))^{n}

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