JEE Main 2020MathematicsIndefinite IntegrationHardMCQ

JEE Main 2020 — Indefinite Integration Question with Solution

JEE Main 2020 (09 Jan Shift 1)

Question

The integral ∫dx(x+4)87(x-3)67 is equal to: (where C is a constant of integration)

Choose an option

Show full solutionCorrect option: A
Correct answer
Ax-3x+417+C

Step-by-step explanation

⇒∫x-3x+4-671x+42dx   ...i

Let x-3x+4=t7 ,

7x+42dx=7t6dt ... ii

From i from ii,

∫t-6t6dt=t+C

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About this question

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