Answer:
The integral diverges
Step-by-step explanation:
∫₁³ 2 / (x − 2)^(8/3) dx
∫₁³ 2 (x − 2)^(-8/3) dx
There is a discontinuity in the function at x = 2. Splitting this into two integrals:
∫₁² 2 (x − 2)^(-8/3) dx + ∫₂³ 2 (x − 2)^(-8/3) dx
(-6/5) (x − 2)^(-5/3) |₁² + (-6/5) (x − 2)^(-5/3) |₂³
∞
