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Q26  Integrate the functions \frac{\cos \sqrt x }{\sqrt x }

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Given function  \frac{\cos \sqrt x }{\sqrt x },

Assume the \sqrt x =t

 \therefore \frac{1}{2\sqrt x}dx =dt

\implies \int \frac{\cos \sqrt{x}}{\sqrt{x}}dx = 2\int \cos t dt

= 2\sin t +C

Now, back substituted the value of t.

= 2\sin \sqrt{x}+C, where C is any constant value.

Posted by

Divya Prakash Singh

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