JEE Main 2017MathematicsIndefinite IntegrationMediumMCQ

JEE Main 2017 — Indefinite Integration Question with Solution

JEE Main 2017 (09 Apr Online)

Question

If f3x-43x+4=x+2, x≠-43, and ∫fxdx=Alog1-x+Bx+C , then the ordered pair A, B is equal to

Choose an option

Show full solutionCorrect option: B
Correct answer
B-83,23

Step-by-step explanation

Given f3x-43x+4=x+2, x≠-43

Let,  3x-43x+4=t

3x-4=3tx+4t

x=4t+43-3t+2

∴ft=10-2t3-3t

⇒fx=2x-103x-3

∫fxdx=∫2x-103x-3dx

=∫2x3x-3dx-10∫dx3x-3

=2x3-83lnx-1+C, where C is the constant of integration.

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About this question

This is a previous-year question from JEE Main 2017, covering the Indefinite 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.