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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Integral Calculus
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Integrate : $\int \large\frac{\cos \sqrt x }{\sqrt x }$$dx$

$(a)\;2 \cos \sqrt x +c \\(b)\;2 \sin \sqrt x +c \\(c)\;2+\tan \sqrt x +c \\ (d)\;None$
Can you answer this question?
 
 

1 Answer

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$\sqrt x =t$ differentiate both side
$\large\frac{1}{2} $$\sqrt x dx=dt$
$\large\frac{1}{\sqrt x}$$ dx=dt$
=> $ 2 \cos t dt$
=> $2 \sin t +c$
$2 \sin \sqrt x +c$
Hence b is the correct answer.
answered Jan 2, 2014 by meena.p
 
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