JEE Main 2018MathematicsDefinite IntegrationProperties Of Definite IntegrationmediumMCQ

JEE Main 2018Definite Integration Question with Solution

From: JEE Main 2018 (Online) 15th April Evening Slot

Question

The value of integral is :

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

Let  

also let K =

Multiplying numerator and denominator by
(1 sin x) we get;



= x(1 sin x) sec2x

= x sec2x x sin x sec2x = x sec2x x tan x sec x

Now,

I =

-

I = -



I =



I = - +

I =

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About this question

This is a previous-year question from JEE Main 2018, 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.