\[\int_{{}}^{{}}{\frac{dx}{(1+{{x}^{2}})\sqrt{{{p}^{2}}+{{q}^{2}}{{({{\tan }^{-1}}x)}^{2}}}}}=\]

\[\log [q{{\tan }^{-1}}x+\sqrt{{{p}^{2}}+{{q}^{2}}{{({{\tan }^{-1}}x)}^{2}}}]+c\]

\[\frac{1}{q}\log [q{{\tan }^{-1}}x+\sqrt{{{p}^{2}}+{{q}^{2}}{{({{\tan }^{-1}}x)}^{2}}}]+c\]

\[\frac{2}{3q}{{({{p}^{2}}+{{q}^{2}}{{\tan }^{-1}}x)}^{3/2}}+c\]

\[\int_{{}}^{{}}{\frac{dx}{(1+{{x}^{2}})\sqrt{{{p}^{2}}+{{q}^{2}}{{({{

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