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Home  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Integral Calculus

Integrate : $ \int \large\frac{1}{(x)^{5/2}}$$dx$

\[\begin {array} {1 1} (a)\;\frac{-5}{2} x^{-5/2} \\ (b)\;\frac{-2}{3} x^{-3/2} \\ (c)\;\frac{3}{2}(x) ^{3/2} \\ (d)\;\frac{5}{2} x^{5/2} \end {array}\]

1 Answer

$ \int \large\frac{1}{(x)^{5/2}}$$dx$
=> $ \large\frac{x^{-5/2+1}}{-5/2+1}$$+c$
=> $\large\frac{-2}{3} $$ \times x^{-3/2} +c$
=> $\large\frac{-2}{3} $$ \times \frac{1}{x^{-3/2}} +c$
=>$\large\frac{-2}{3}$$ x^{-3/2}+c$
Hence b is the correct answer.
answered Dec 17, 2013 by meena.p
 
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