1.

\[\int_{{}}^{{}}{{{e}^{x}}\left[ {{\sin }^{-1}}\frac{x}{a}+\frac{1}{\sqrt{{{a}^{2}}-{{x}^{2}}}} \right]dx=}\]

A.                 \[\frac{1}{a}{{e}^{x}}{{\sin }^{-1}}\frac{x}{a}+c\]
B.                 \[a{{e}^{x}}{{\sin }^{-1}}\frac{x}{a}+c\]
C.                 \[{{e}^{x}}{{\sin }^{-1}}\frac{x}{a}+c\]
D.                 \[\frac{{{e}^{x}}}{\sqrt{{{a}^{2}}-{{x}^{2}}}}+c\]
Answer» D.                 \[\frac{{{e}^{x}}}{\sqrt{{{a}^{2}}-{{x}^{2}}}}+c\]


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