Use any method to evaluate the integrals in Exercises 55–66.
∫ x² √(1 - x²) dx

Evaluate the integrals in Exercises 29–32 (b) using a trigonometric substitution.

∫ [x / √(4 − x²)] dx

Evaluate the integrals in Exercises 29–32 (b) using a trigonometric substitution.

∫ [x / √(4 + x²)] dx

Evaluate the integrals in Exercises 29–32 (b) using a trigonometric substitution.

∫ [y / √(16 − y²)] dy

Evaluate the integrals in Exercises 29–32 (b) using a trigonometric substitution.

∫ [t / √(4t² − 1)] dt

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)

Use any method to evaluate the integrals in Exercises 15–38. Most will require trigonometric substitutions, but some can be evaluated by other methods.

∫ dx / (1 + x²)

Evaluate the integrals in Exercises 33–36.

∫ [1 / √(9 - x²)] 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.

∫ t dt / √(9 − 4t²)