Evaluate the integrals in Exercises 31–78.
43. ∫tan(ln v)/v dv

Evaluate the integrals in Exercises 31–78.

39. ∫(from 0 to π)tan(x/3)dx

Use l’Hôpital’s Rule to find the limits in Exercises 85–108.

93. lim(x→0) (csc(x) - cot(x))

In Exercises 1–24, find the derivative of y with respect to the appropriate variable.

9. y = 8^(-t)

Evaluate the integrals in Exercises 31–78.

75. ∫(from -2 to -1)2dv/(v²+4v+5)

113. The function f(x) = e^x + x, being differentiable and one-to-one, has a differentiable inverse f^(-1)(x). Find the value of df^(-1)/dx at the point f (ln 2).

109. Does f grow faster, slower, or at the same rate as g as x→∞? Give reasons for your answers.

e. f(x) = arccsc(x), g(x) = 1/x