\[\int_{{}}^{{}}{\frac{{{a}^{x}}}{\sqrt{1-{{a}^{2x}}}}dx=}\] [MNR 1983, 87]

\[\frac{1}{\log a}{{\sin }^{-1}}{{a}^{x}}+c\]

\[\frac{1}{\log a}{{\cos }^{-1}}{{a}^{x}}+c\]

\[\int_{{}}^{{}}{\frac{{{a}^{x}}}{\sqrt{1-{{a}^{2x}}}}dx=}\] [MNR 1983

1.	\[\int_{{}}^{{}}{\frac{{{a}^{x}}}{\sqrt{1-{{a}^{2x}}}}dx=}\] [MNR 1983, 87]
A.	\[\frac{1}{\log a}{{\sin }^{-1}}{{a}^{x}}+c\]
B.	\[{{\sin }^{-1}}{{a}^{x}}+c\]
C.	\[\frac{1}{\log a}{{\cos }^{-1}}{{a}^{x}}+c\]
D.	\[{{\cos }^{-1}}{{a}^{x}}+c\]
Answer» B. \[{{\sin }^{-1}}{{a}^{x}}+c\]

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\[\int_{{}}^{{}}{\frac{{{a}^{x}}}{\sqrt{1-{{a}^{2x}}}}dx=}\] [MNR 1983, 87]

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