What is the integral of 2-(5/(x^2)) ?

The integral of 2-(5/(x^2)) is 2x+5/x+C

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integral of 2-(5/(x^2))

integral

2 - (\frac{5}{x ^{2}})

2 x + \frac{5}{x} + C

Solution steps

\int 2 - \frac{5}{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 2 d x - \int \frac{5}{x ^{2}} d x

\int 2 d x = 2 x

\int \frac{5}{x ^{2}} d x = - \frac{5}{x}

= 2 x - (- \frac{5}{x})

Simplify

= 2 x + \frac{5}{x}

Add a constant to the solution

= 2 x + \frac{5}{x} + C

1 - x^{2}

∣ x ∣^{4}

\frac{7}{x}

(x^{2}) \cdot e^{x^{3}}

\frac{2}{( ( x - 2 ) x + 2 )}