Textbook Question
Evaluate the integrals in Exercises 31–78.
35. ∫sec²x e^(tan x)dx
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Evaluate the integrals in Exercises 31–78.
35. ∫sec²x e^(tan x)dx
110. Does f grow faster, slower, or at the same rate as g as x→∞? Give reasons for your answers.
f. f(x) = sech(x), g(x) = e^(-x)
Evaluate the integrals in Exercises 31–78.
52. ∫(from 1 to 32)(1/5x) dx
Use l’Hôpital’s Rule to find the limits in Exercises 85–108.
91. lim(x→π/2⁻) (sec(7x))(cos(3x))
Evaluate the integrals in Exercises 31–78.
67. ∫(from -2 to 2)3dt/(4+3t²)
Evaluate the integrals in Exercises 31–78.
58. ∫(from 0 to ln9)e^θ(e^θ-1)^(1/2) dθ