Question 2 · Matemàtiques URV Exemples 2025

Question 2 (3 pts). Volume under a surface using double integration

Calculate the volume under the surface given by the graph of $f(x, y) = 4y$ over the bounded region of the plane enclosed between the line $y = x$ and the parabola $x = y^2 - 2$.

a)

Limits of integration with respect to $y$:

b)

c)