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Popular >

integral of 2-1/(x^2)

Solution

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

Solution

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

Solution steps

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

\int 2 d x = 2 x

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

= 2 x - (- \frac{1}{x})

Simplify

= 2 x + \frac{1}{x}

Add a constant to the solution

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

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Frequently Asked Questions (FAQ)

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