Mathematics · Multiple Integrals
Match the double integrals in List-I with the equivalent double integrals after changing the order of integration in List-II: List-I (A) ∫ 0 2 ∫ 0 x f(x, y) dy dx (B) ∫ 0 1 ∫ y 1 f(x, y) dx dy (C) ∫ 0 2 ∫ x 2 f(x, y) dy dx (D) ∫ 0 1 ∫ 0 y f(x, y) dx dy List-II (1) ∫ 0 1 ∫ x 1 f(x, y) dy dx (2) ∫ 0 1 ∫ 0 x f(x, y) dy dx (3) ∫ 0 2 ∫ y 2 f(x, y) dx dy (4) ∫ 0 2 ∫ 0 y f(x, y) dx dy
- 1(A) - (4), (B) - (1), (C) - (3), (D) - (2)
- 2(A) - (3), (B) - (2), (C) - (1), (D) - (4)
- 3(A) - (3), (B) - (2), (C) - (4), (D) - (1)✓
- 4(A) - (4), (B) - (1), (C) - (2), (D) - (3)
Correct answer
(A) - (3), (B) - (2), (C) - (4), (D) - (1)
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