Evaluate the integrals in Exercises 31–78.
41. ∫(from 0 to 4)2t/(t² - 25)dt

Evaluate the integrals in Exercises 31–78.

55. ∫(from -2 to -1)e^(-(x+1)) dx

Evaluate the integrals in Exercises 31–78.

47. ∫(1/r)csc²(1+ln(r))dr

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

97. lim(x→0) (10^x - 1)/x

133. What is the age of a sample of charcoal in which 90% of the carbon-14 originally present has decayed?

In Exercises 79–84, solve for y.

79. 3^y = 2^(y+1)

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

17. y = ln(arccos(x))