JEE Main 2015MathematicsIndefinite IntegrationHardMCQ

JEE Main 2015 — Indefinite Integration Question with Solution

JEE Main 2015 (10 Apr Online)

Question

The integral ∫dxx+134x-254, is equal to

Choose an option

Show full solutionCorrect option: B
Correct answer
B-43 x+1x-214+c

Step-by-step explanation

∫dxx+134x-254

=∫dxx+12x-2x+154

Put, x-2x+1=t⇒3x+12dx=dt

∴I=-431t14+c

=-43x+1x-214+c, c being the constant of integration.

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About this question

This is a previous-year question from JEE Main 2015, 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.