The GATE Grind

GATE Engineering Mathematics: Calculus: Definite and improper integrals, double and triple integrals – Previous Year Questions

2 GATE previous year questions on Calculus: Definite and improper integrals, double and triple integrals (Engineering Mathematics, Mechanical Engineering) with answers and explanations, from every paper.

  1. GATE 2024 ME Q42 (2 marks, Numerical answer) – If the value of the double integral x=34 y=12dy\,dx(x + y)2 is e(a/24), then a is (*answer in integer*).
  2. GATE 2026 ME Q11 (1 mark, Multiple choice) – Domain A is bounded by curve x2 = 4y, ordinate x = 2, and x axis. The value of A y\,dx\,dy is