Calculus: Evaluate the Double Integral

**Evaluate the integral ∫1-2 **∫y-y^2  dxdy <– That’s not a typo, there’s no given function to integrate

**Solution: **Start by integrating with x.  In this case, it basically means skipping integration and plugging in the bounds as if there were an x variable.

∫1-2  y^2 – y dy

Integrating with y gives us:

(y<>3)/3 – (y2)/2|1-2 => 8/3 – 4/2 – (1/3 – 1/2)

Simplify this to get:

Answer: 5/6