If \( I=\int \tan ^{-1}(1+\sqrt{x}) d x \), then \( I \) equals
(a)...
If \( I=\int \tan ^{-1}(1+\sqrt{x}) d x \), then \( I \) equals
(a) \( x^{2} \tan ^{-1}(1+\sqrt{x})-\sqrt{x} \)
\[
+\log (x+2 \sqrt{x}+2)+C
\]
(b) \( (2 \sqrt{2}+1) \tan ^{-1}(1+\sqrt{x})+\sqrt{x} \)
\[
-\log (x+2 \sqrt{x}+2)+C
\]
(c) \( (\sqrt{x-1})^{2} \tan ^{-1}(1+\sqrt{x})-\sqrt{x} \)
\[
+\log (\sqrt{x}+1)+C
\]
(d) none of these
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