1.
Use integration by parts to evaluate the indefinite integrals algebraically.
a). \(\int x^2 \sin 2x \, dx\)
b). \(\int x^2 e^{-2x} \, dx\)
2.
Determine the indefinite integral algebraically:
\(\int \tan^3 x \sec^4 x \, dx\)
3.
Determine the indefinite integrals algebraically:
a). \(\int \frac{x+6}{x(x+1)} \, dx\)
b). \(\int \frac{x-2}{x^2(x+1)} \, dx\)
4.
Use an appropriate trig substitution to help integrate:
a). \(\int \frac{1}{\sqrt{4-9x^2}} \, dx\)
b). \(\int \frac{2}{\sqrt{x^2+16}} \, dx\)
