Final answer:
To change the order of integration in the given double integral, rewrite the limits of integration and switch the order of integration.
Step-by-step explanation:
To change the order of integration in the given double integral, we need to rewrite the limits of integration and switch the order of integration. The original integral is ∫₁³∫₂-xˣ f(x, y) d y d x.
Step 1: Rewrite the limits of integration:
The lower limit of the inner integral is 2-xˣ. The upper limit of the inner integral is x = 3. The lower limit of the outer integral is y = 1. The upper limit of the outer integral is y = 3.
Step 2: Switch the order of integration:
The new integral is ∫₂¹ ∫ₓ³ f(x, y) d x d y.