JEE Main 2017 — Definite Integration Question with Solution
From: JEE Main 2017 (Online) 9th April Morning Slot
Question
If then k is equal to :
Choose an option
Show full solutionCorrect option: A
Correct answer
A1
Step-by-step explanation
Given, I =
=
Let x 1 = tan
dx = sec2 d
When x = 1, then = 0
and when x = 2, =
I =
=
=
=
=
=
=
=
According to the question,
=
6k = k + 5
k = 1
=
Let x 1 = tan
dx = sec2 d
When x = 1, then = 0
and when x = 2, =
I =
=
=
=
=
=
=
=
According to the question,
=
6k = k + 5
k = 1
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This is a previous-year question from JEE Main 2017, 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.