\[\underline{PART\ -\ A}\]
\[1.\ Evaluate\ :\ \int x^2\ sin\ x\ dx\ \hspace{15cm}\]
\[2.\ Evaluate\ :\ \int x^2\ e^x\ dx\ \hspace{15cm}\]
\[\underline{PART\ -\ B}\]
\[3.\ Evaluate\ :\ \int x^2\ cos\ 3x\ dx\ \hspace{15cm}\]
\[\underline{PART\ -\ C}\]
\[4.\ Evaluate:\ \hspace{2cm}\ (i)\ \int\ x^2\ sin\ 4x\ dx\ \hspace{2cm}\ (ii)\ \int x^2\ e^{-7x}\ dx\ \hspace{10cm}\]
\[5.\ Evaluate:\ \hspace{2cm}\ (i)\ \int\ x^2\ cos\ 5x\ dx\ \hspace{2cm}\ (ii)\ \int x^2\ e^{-2x}\ dx\ \hspace{10cm}\]
\[6.\ Evaluate:\ \hspace{2cm}\ (i)\ \int\ x^2\ e^{-3x}\ dx\ \hspace{2cm}\ (ii)\ \int x^2\ sin\ 6x\ dx\ \hspace{10cm}\]
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