Evaluate the integrals in Exercises 1–8 using integration by parts.
∫ arccos(x / 2) 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.

∫ (sin5t) dt / [1 + (cos5t)²]

Evaluate the integrals in Exercises 69–134. The integrals are listed in random order so you need to decide which integration technique to use.

117. ∫ dr / (1 + √r)

Evaluate the integrals in Exercises 69–134. The integrals are listed in random order so you need to decide which integration technique to use.

∫ dy / (y² − 2y + 2)

Evaluate the integrals in Exercises 1–8 using integration by parts.

∫ x² ln(x) dx

Evaluate the integrals in Exercises 9–28. It may be necessary to use a substitution first.

∫ [(x + 1) / (x² (x − 1))] dx

Evaluate the integrals in Exercises 37–44.

∫ tan³(x) sec³(x) dx