Evaluate the integrals in Exercises 33–52.
∫ tan⁴(x) sec³(x) dx

Evaluate the integrals in Exercises 1–22.

∫ cos³(4x) dx

Evaluate the integrals in Exercises 1–22.

∫ cos³(2x) sin⁵(2x) dx

Evaluate the integrals in Exercises 31–56. Some integrals do not require integration by parts.

∫ x² sin(x³) dx

Evaluate the integrals in Exercises 33–52.

∫ eˣ sec³(eˣ) dx

Evaluate the integrals in Exercises 33–52.

∫ sec⁶(x) dx

Use any method to evaluate the integrals in Exercises 65–70.

∫ cot(x) / cos²(x) dx

Exercises 59–64 require the use of various trigonometric identities before you evaluate the integrals.

∫ cos²(2θ) sin(θ) dθ

Exercises 59–64 require the use of various trigonometric identities before you evaluate the integrals.

∫ sin³(θ) cos(2θ) dθ