JEE Main 2020MathematicsDefinite IntegrationHardMCQ

JEE Main 2020 — Definite Integration Question with Solution

JEE Main 2020 (09 Jan Shift 1)

Question

If for all real triplets a,b,c,fx=a+bx+cx2; then ∫01fxdx is equal to:

Choose an option

Show full solutionCorrect option: D
Correct answer
D16f0+f1+4f12

Step-by-step explanation

∫01a+bx+cx2dx=ax+bx22+cx3301=a+b2+c3

f1=a+b+c

f0=a

f12=a+b2+C4

Now

16f1+f0+4f12=16a+b+c+a+4a+b2+c4=166a+3b+2c=a+b2+c3

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About this question

This is a previous-year question from JEE Main 2020, 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.