A: Let u=1+cosx, du=−sinxdx. Result: −log∣1+cosx∣+C (III).
B: Write as cosx−sinxcosx, split. Result: 2x−21log∣cosx−sinx∣+C (IV).
C: Let u=tan−1x. Result: etan−1x+c (I).
D: Let u=1+logx. Result: log∣1+logx∣+C (II).
Match List I with List II | LIST I | LIST II | |---|---| | A. ∫ sin x 1 + cos x dx | I. e^tan^-1 x + C | | B. ∫ 1 1 - tan x dx | II. log(log x + 1) +…
CUET UG 2023 — Mathematics Calculus
2023mcqhard
Match List I with List II
| LIST I | LIST II |
|---|---|
| A. ∫1+cosxsinxdx | I. etan−1x+C |
| B. ∫1−tanx1dx | II. log(logx+1)+C |
| C. ∫1+x2etan−1xdx | III. −log∣1+cosx∣+C |
| D. ∫x+xlogx1dx | IV. 2x−21log∣cosx−sinx∣+C |
Choose the correct answer from the options given below:
Official previous-year question
Held on 25 May 2023 · Verified 13 Jul 2026.
Options
- A
A-II, B-III, C-IV, D-I
- B
A-III, B-IV, C-I, D-II
- C
A-I, B-II, C-III, D-IV
- D
A-IV, B-I, C-III, D-II
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