Evaluate the integrals in Exercises 31–78.
33. ∫e^x sec²(e^x - 7)dx

Evaluate the integrals in Exercises 33–54.

49. ∫ e^(sec πt) sec πt tan πt dt

Evaluate the integrals in Exercises 33–54.

51. ∫ from ln(π/6) to ln(π/2) 2e^v cos(e^v) dv

Evaluate the integrals in Exercises 33–54.

53. ∫ (e^r / (1 + e^r)) dr

Evaluate the integrals in Exercises 31–78.

31. ∫e^x sin(e^x)dx

Evaluate the integrals in Exercises 33–54.

∫(e^(3x) + 5e^(-x)) dx

Evaluate the integrals in Exercises 33–54.

∫8e^(x+1) dx

Evaluate the integrals in Exercises 33–54.

∫ (e^(√r) / √r) dr

Evaluate the integrals in Exercises 33–54.

∫(from ln3 to ln2) (e^x) dx