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

The integral of (2/(sqrt(x))-1/2) is 4sqrt(x)-1/2 x+C

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

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

4 x - \frac{1}{2} x + C

Solution steps

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

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

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

= 4 x - \frac{1}{2} x

Add a constant to the solution

= 4 x - \frac{1}{2} x + C

\int x 9 1 + x^{2} d x

\frac{\partial}{\partial x} (3 x + y + e^{x} + 2 e^{y})

y^{^{'''}} - y^{^{'}} = x

\int \frac{4 x}{e ^{2 x}} d x

\int 24 x^{3} - 18 x^{2} + 8 x d x

What is the integral of (2/(sqrt(x))-1/2) ?
The integral of (2/(sqrt(x))-1/2) is 4sqrt(x)-1/2 x+C