Question

The value of $\smallint \,\,\frac{{dx}}{{\sqrt x \,\, + \,\,\sqrt[3]{x}}}$ is

Accepted Answer

$2\,\sqrt x \,\, - \,\,3\,\,\left( {\sqrt[3]{x}} \right)\,\, + \,\,6\,\;\left( {\sqrt[6]{x}} \right)\;\, - \,6\,\,\log \,\,\left( {\sqrt[6]{{x + 1}}} \right)\,\, + \,\,c$

Answer

$3\,\sqrt x \,\, + \,\,3\,\,\left( {\sqrt[3]{x}} \right)\,\, - \,\,6\,\;\sqrt[6]{x}\,\, + \,\,6\,\,\log \,\,\left( {\sqrt[6]{{x + 1}}} \right)\,\, + \,\,c$

Answer

$2\,\sqrt x \,\, + \,\,6\,\,\left( {\sqrt[6]{x}} \right)\,\, - \,\,6\,\,\log \,\,\left( {\sqrt[6]{{x\,\, + \,\,1}}} \right)\,\, + \,\,c$

Answer

None of the above

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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