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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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∫  f′  (x)f  (x)  dx=...  +  c ;  f(x)≠0\int \,\,\frac{{f'\,\,\left( x \right)}}{{\sqrt {f\,\,\left( x \right)} }}\,\,dx = ...\,\, + \,\,c\,;\,\,f\left( x \right) \ne 0
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Correct option: B
2  f  (x)2\,\,\sqrt {f\,\,\left( x \right)}
Option B (2  f  (x)2\,\,\sqrt {f\,\,\left( x \right)}) is correct because the integral of f′  (x)f  (x)\frac{{f'\,\,\left( x \right)}}{{\sqrt {f\,\,\left( x \right)} }} is 2f(x)+c2\sqrt{f(x)} + c.

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