A: x2+cosx is even (both x2 and cosx are even) - matches I.
B: For even function, ∫−aaf(x)dx=2∫0af(x)dx - matches III.
C: If f(2a−x)=−f(x), then ∫02af(x)dx=0 - matches II.
D: x3+sinx is odd - matches IV.
So A-I, B-III, C-II, D-IV.
Match List I with List - II | List - I | List - II | |---|---| | A. An even function | I. x^2 + cos x | | B. For an even function, ∫_-a^a f(x)dx = |…
CUET UG 2022 — Mathematics Calculus
2022mcqeasy
Match List I with List - II
| List - I | List - II |
|---|---|
| A. An even function | I. x2+cosx |
| B. For an even function, ∫−aaf(x)dx= | II. 0 |
| C. If f(2a−x)=−f(x), then ∫02af(x)dx= | III. 2∫0af(x)dx |
| D. An odd function | IV. x3+sinx |
Choose the correct answer from the options given below:
Official previous-year question
Held on 4 Aug 2022 · Verified 13 Jul 2026.
Options
- A
A-IV, B-II, C-III, D-I
- B
A-I, B-II, C-III, D-IV
- C
A-II, B-I, C-III, D-IV
- D
A-I, B-III, C-II, D-IV
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