Evaluate the integrals in Exercises 31–56. Some integrals do not require integration by parts.
∫ sin(2x) cos(4x) dx

Evaluate the integrals in Exercises 69–134. The integrals are listed in random order so you need to decide which integration technique to use.

∫ (tan²x + sec²x) dx

82. Use the definitions of the hyperbolic functions to find each of the following limits.

h. lim(x→0^-) coth x

Use the table of integrals at the back of the text to evaluate the integrals in Exercises 1–26.

∫ sin(2x) cos(3x) dx

82. Use the definitions of the hyperbolic functions to find each of the following limits.

i. lim(x→-∞) csch x