1.

\[\int_{{}}^{{}}{\sqrt{x}{{e}^{\sqrt{x}}}\ dx=}\]  [Karnataka CET 2004]

A.                 \[2\sqrt{x}-{{e}^{\sqrt{x}}}-4\sqrt{x}\ {{e}^{\sqrt{x}}}+c\]
B.                 \[(2x-4\sqrt{x}+4){{e}^{\sqrt{x}}}+c\]
C.                 \[(2x+4\sqrt{x}+4){{e}^{\sqrt{x}}}+c\]
D.                 \[(1-4\sqrt{x}){{e}^{\sqrt{x}}}+c\]
Answer» C.                 \[(2x+4\sqrt{x}+4){{e}^{\sqrt{x}}}+c\]


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