If \( I=\int \frac{(x+1)^{2}}{\sqrt{x^{2}+1}} d x \), then \( 2 I \...
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If \( I=\int \frac{(x+1)^{2}}{\sqrt{x^{2}+1}} d x \), then \( 2 I \) equals
(a) \( (x+4) \sqrt{x^{2}+1}+\log \left(x+\sqrt{x^{2}+1}\right)+C \)
(b) \( x \sqrt{x^{2}+1}+2 \log \left(x+\sqrt{x^{2}+1}\right)+C \)
(c) \( x \sqrt{x^{2}+1}+\log \left(x+\sqrt{x^{2}+1}\right)+C \)
(d) \( (x-3) \sqrt{x^{2}+1}+\log \left(x+\sqrt{x^{2}+1}\right)+C \)
\( \mathrm{P} \)
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