JEE Main 2018 — Definite Integration Question with Solution
From: JEE Main 2018 (Online) 16th April Morning Slot
Question
If then :
Choose an option
Show full solutionCorrect option: C
Correct answer
Cf'''(x) + f'(x) = cosx 2x sinx
Step-by-step explanation
f(x) =
= sin x
= sin x + + sin x
f(x) = sinx + xcosx + sinx
f'(x) = cosx + 2cos x
f''(x) = x cos x sin x 2sin x
f'''(x) = cos x 2x sin x cos x 2cos x
f'''(x) + f'(x) = cos x 2x sin x
= sin x
= sin x + + sin x
f(x) = sinx + xcosx + sinx
f'(x) = cosx + 2cos x
f''(x) = x cos x sin x 2sin x
f'''(x) = cos x 2x sin x cos x 2cos x
f'''(x) + f'(x) = cos x 2x sin x
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This is a previous-year question from JEE Main 2018, covering the Definite Integration chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.