Question

Evaluate the integral: ³√64 - ²dr (A) Which trig substitution is correct for this integral?

A 64 sec (0)
B 0x = 8 sin(0)
C x = 8 sec(0)
D 64 tan (0)
E 64 sin(0) x = 8 tan (0)
F I= x = OF

Answer 1

The correct trig substitution for the given integral ∛(64 − 2r) dr is option F: x = 8tan(θ).

Step-by-step explanation:

The correct trig substitution for the given integral ∛(64 − 2r) dr is option F: x = 8tan(θ).

To evaluate the integral using trig substitution, we can substitute r with the expression x = 8tan(θ). This substitution allows us to simplify the integral and evaluate it using trigonometric identities and techniques. After substituting, we can proceed with further simplifications and solve the integral.