\[\int_{{}}^{{}}{\frac{1}{\sqrt{1-{{e}^{2x}}}}\ dx=}\] [MP PET 1993, 2002; RPET 1999]

\[x+\log [1+\sqrt{1-{{e}^{2x}}}]+c\]

\[x-\log [1+\sqrt{1-{{e}^{2x}}}]+c\]

\[\log [1+\sqrt{1-{{e}^{2x}}}]-x+c\]

\[\int_{{}}^{{}}{\frac{1}{\sqrt{1-{{e}^{2x}}}}\ dx=}\] [MP PET 1993, 2

1.	\[\int_{{}}^{{}}{\frac{1}{\sqrt{1-{{e}^{2x}}}}\ dx=}\] [MP PET 1993, 2002; RPET 1999]
A.	\[x-\log [1+\sqrt{1-{{e}^{2x}}}]+c\]
B.	\[x+\log [1+\sqrt{1-{{e}^{2x}}}]+c\]
C.	\[\log [1+\sqrt{1-{{e}^{2x}}}]-x+c\]
D.	None of these
Answer» B. \[x+\log [1+\sqrt{1-{{e}^{2x}}}]+c\]

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\[\int_{{}}^{{}}{\frac{1}{\sqrt{1-{{e}^{2x}}}}\ dx=}\] [MP PET 1993, 2002; RPET 1999]

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