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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Integral Calculus
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Integrate : $\int\limits_0^5 \sqrt {\large\frac{x^3}{5-x}}dx$

\[\begin {array} {1 1} (a)\;\frac{25z}{\theta} \\ (b)\;\frac{75z}{\theta} \\ (c)\;\frac{75 z^2}{\theta}\\ (d)\;\frac{75z^2}{g} \end {array}\]
Can you answer this question?
 
 

1 Answer

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$\int \limits_0^{k^3} \sqrt{ \large\frac{x^3}{k-x}}$$.dx=3.z.\large\frac{k^2}{\theta}$
$K=5, \large\frac{3z(5)^2}{\theta}$
$\qquad= \large\frac{75 \pi}{8}$
Hence b is the correct answer.

 

answered Dec 12, 2013 by meena.p
 
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