1.

\[\int_{{}}^{{}}{\tan x}{{\sec }^{2}}x\sqrt{1-{{\tan }^{2}}x}\ dx=\]

A.            \[-\frac{1}{3}{{(1-{{\tan }^{2}}x)}^{3/2}}+c\]
B.            \[\frac{1}{3}{{(1-{{\tan }^{2}}x)}^{3/2}}+c\]
C.            \[-\frac{2}{3}{{(1-{{\tan }^{2}}x)}^{2/3}}+c\]
D.            None of these
Answer» B.            \[\frac{1}{3}{{(1-{{\tan }^{2}}x)}^{3/2}}+c\]


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