What is the integral of-2/(x^{1/2)}+3 ?

The integral of-2/(x^{1/2)}+3 is -4x^{1/2}+3x+C

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integral of-2/(x^{1/2)}+3

\int - \frac{2}{x ^{\frac{1}{2}}} + 3 d x

- 4 x^{\frac{1}{2}} + 3 x + C

Solution steps

\int - \frac{2}{x ^{\frac{1}{2}}} + 3 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 ^{\frac{1}{2}}} d x + \int 3 d x

\int \frac{2}{x ^{\frac{1}{2}}} d x = 4 x^{\frac{1}{2}}

\int 3 d x = 3 x

= - 4 x^{\frac{1}{2}} + 3 x

Add a constant to the solution

= - 4 x^{\frac{1}{2}} + 3 x + C

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What is the integral of-2/(x^{1/2)}+3 ?
The integral of-2/(x^{1/2)}+3 is -4x^{1/2}+3x+C