Evaluate the integrals in Exercises 29–32 (b) using a trigonometric substitution.
∫ [x / √(4 + x²)] dx

For Exercises 49–52, complete the square before using an appropriate trigonometric substitution.

∫ 1 / √(x² - 2x + 5) dx

Evaluate ∫ x³ √(1 - x²) dx using:

c. A trigonometric substitution.

The integrals in Exercises 1–44 are in no particular order. Evaluate each integral using any algebraic method, trigonometric identity, or substitution you think is appropriate.

∫ (dθ / √(2θ - θ²))

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

Use any method to evaluate the integrals in Exercises 55–66.

∫ x² √(1 - 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.

∫ dy / (y² − 2y + 2)