12. Techniques of Integration

Which of the improper integrals in Exercises 63–68 converge and which diverge?

∫ from 6 to ∞ of (1 / √(θ² + 1)) dθ

Which of the improper integrals in Exercises 63–68 converge and which diverge?

∫ from 1 to ∞ of ((ln z) / z) dz

Which of the improper integrals in Exercises 63–68 converge and which diverge?

∫ from −∞ to ∞ of (2 / (e^x + e^(−x))) 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.

∫₁^∞ (lny) / y³ dy