MATH 234 FINAL EXAM INTEGRATION AND VECTOR CALCULUS PRACTICE QUESTIONS 2026 (Complete And Verified Study material) (11pages) LEARNEXAMS

1. (10 points) Consider the iterated double integral

∫ 1 ∫ 1

I =

0

√

1−y

cos(x

3) dxdy.

(a) Sketch the region of integration.

(b) Evaluate the double integral by reversing order of integration.

2. (10 points) Evaluate the triple integral

∫∫∫

D

xdV

where D the solid region in the first octant bounded by the parabolic cylinder

z = x

2 and the plane y + z = 1.