What is the integral of 2/(sqrt(x))-3/(x^2) ?

The integral of 2/(sqrt(x))-3/(x^2) is 4sqrt(x)+3/x+C

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integral of 2/(sqrt(x))-3/(x^2)

\int \frac{2}{x} - \frac{3}{x ^{2}} d x

4 x + \frac{3}{x} + C

Solution steps

\int \frac{2}{x} - \frac{3}{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{2}{x} d x - \int \frac{3}{x ^{2}} d x

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

\int \frac{3}{x ^{2}} d x = - \frac{3}{x}

= 4 x - (- \frac{3}{x})

Simplify

= 4 x + \frac{3}{x}

Add a constant to the solution

= 4 x + \frac{3}{x} + C

\int \frac{sin ( \frac{5}{x} )}{x ^{2}} d x

\frac{\partial}{\partial x} (9 x y - 5 x^{2} y)

\frac{\partial}{\partial y} (2 x - 3 y)

\frac{d}{d x} ((2 tan^{2} (2 x) - 1)^{\frac{1}{2}})

\frac{d}{d u} (u^{2} + v^{2})

What is the integral of 2/(sqrt(x))-3/(x^2) ?
The integral of 2/(sqrt(x))-3/(x^2) is 4sqrt(x)+3/x+C