\( \int \frac{3 x^{2}+4 x-1}{\left(x^{2}+1\right)^{2} \sqrt{x+1}} d x \) is equal to: (a) \( \fr...

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\( \int \frac{3 x^{2}+4 x-1}{\left(x^{2}+1\right)^{2} \sqrt{x+1}} d x \) is equal to:
(a) \( \frac{\sqrt{x+1}}{x^{2}+1}+c \)
(b) \( -\frac{2 \sqrt{x+1}}{x^{2}+1}+c \)
(c) \( \frac{2}{\left(x^{2}+1\right) \sqrt{x+1}} \)
(d) \( \frac{-x}{\left(x^{2}+1\right) \sqrt{x+1}}+c \)
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