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Question
Evaluate of the following integral:
Solution
\[\int\frac{dx}{x^{3/2}}\]
\[ = \int x^{- 3/2} dx\]
\[ = \left[ \frac{x^{- \frac{3}{2} + 1}}{\frac{- 3}{2} + 1} \right] + C\]
\[ = \left[ \frac{x^{- \frac{1}{2}}}{- \frac{1}{2}} \right] + C\]
\[ = - \frac{2}{\sqrt{x}} + C\]
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