Evaluate $\int_{1}^{2} \frac{- 1}{x^{2}} d x$

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Solution

Consider, $I = \int_{1}^{2} \frac{- 1}{x^{2}} d x$

$= {[\frac{1}{x}]}_{1}^{2}$

$= \frac{1}{2} - \frac{1}{1} = \frac{- 1}{2}$

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