Seminar – 2 for Enginnering Mathematics – II

\[Group\ 1:\ Evaluate:\ \int sin^3\ x\ dx\ \hspace{15cm}\]
\[Group\ 2:\ Evaluate:\ \int\frac{sec^2\ x}{5\ +\ 4\ tan\ x}\ dx\ \hspace{15cm}\]
\[Group\ 3:\ Evaluate:\ \int\ \frac{e^x}{1\ +\ e^x}\ dx\ \hspace{15cm}\]
\[Group\ 4:\ Evaluate:\ \int\ \frac{dx}{64\ -\ x^2}\ \hspace{2cm}\ \hspace{15cm}\]
\[Group\ 5:\ Evaluate\ :\ \int x\ e^{-2x}\ dx\ \hspace{15cm}\]
\[Group\ 6:\ Evaluate:\ \int x\ cos\ 3x\ dx\ \hspace{15cm}\]
\[Group\ 7:\ Evaluate\ :\ \int x^2\ cos\ 3x\ dx\ \hspace{15cm}\]
\[Group\ 8:\ Evaluate: \int_0^\frac{\pi}{4} tan\ x\ sec^2\ x \ dx\ \hspace{15cm}\]