Consider P \[ \begin{array}{l} \int \frac{x^{3}+3 x^{2}+2 x+1}{\sqr...

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Consider
P
\[
\begin{array}{l}
\int \frac{x^{3}+3 x^{2}+2 x+1}{\sqrt{x^{2}+x+1}} d x \\
\quad=\left(a x^{2}+b x+c\right) \sqrt{x^{2}+x+1}+\lambda \int \frac{d x}{\sqrt{x^{2}+x+1}} .
\end{array}
\]
W
Now, match the following lists and then choose the correct code.
\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|}{ List I } & \multicolumn{1}{|c|}{ List II } \\
\hline a. The value of \( a \) & p. \( -\frac{7}{24} \) \\
\hline b. The value of \( b \) & q. \( \frac{1}{3} \) \\
\hline c. The value of \( c \) & r. \( \frac{1}{16} \) \\
\hline d. The value of \( \lambda \) & s. \( \frac{13}{12} \) \\
\hline
\end{tabular}
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