JEE Exam  >  JEE Questions  >  If x²f(X) f(1/X)=2, for all X except at X=0 t... Start Learning for Free
If x²f(X) f(1/X)=2, for all X except at X=0 then, integration of f(X)dX ,limit 1/3 to 3?
Most Upvoted Answer
If x²f(X) f(1/X)=2, for all X except at X=0 then, integration of f(X)d...
Solution:

Given equation is x²f(X) f(1/X)=2.

We have to find the integration of f(X)dX, limit 1/3 to 3.

Let's solve the given equation to find f(X).

Solving the equation,

x²f(X) f(1/X)=2

f(1/X) = 2 / x²f(X)

Taking X = 1/X,

f(X) = 2 / (1/X)²f(1/X)

f(X) = 2X²f(X)

f(X) = 2 / X²

Now, we have f(X) = 2 / X².

Let's find the integration of f(X)dX, limit 1/3 to 3.

∫ f(X)dX = ∫ 2 / X² dX

= -2 / X, limit 1/3 to 3

= (-2/3) - (-6)

= 4/3

Therefore, the integration of f(X)dX, limit 1/3 to 3 is 4/3.
Explore Courses for JEE exam
If x²f(X) f(1/X)=2, for all X except at X=0 then, integration of f(X)dX ,limit 1/3 to 3?
Question Description
If x²f(X) f(1/X)=2, for all X except at X=0 then, integration of f(X)dX ,limit 1/3 to 3? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If x²f(X) f(1/X)=2, for all X except at X=0 then, integration of f(X)dX ,limit 1/3 to 3? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x²f(X) f(1/X)=2, for all X except at X=0 then, integration of f(X)dX ,limit 1/3 to 3?.
Solutions for If x²f(X) f(1/X)=2, for all X except at X=0 then, integration of f(X)dX ,limit 1/3 to 3? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of If x²f(X) f(1/X)=2, for all X except at X=0 then, integration of f(X)dX ,limit 1/3 to 3? defined & explained in the simplest way possible. Besides giving the explanation of If x²f(X) f(1/X)=2, for all X except at X=0 then, integration of f(X)dX ,limit 1/3 to 3?, a detailed solution for If x²f(X) f(1/X)=2, for all X except at X=0 then, integration of f(X)dX ,limit 1/3 to 3? has been provided alongside types of If x²f(X) f(1/X)=2, for all X except at X=0 then, integration of f(X)dX ,limit 1/3 to 3? theory, EduRev gives you an ample number of questions to practice If x²f(X) f(1/X)=2, for all X except at X=0 then, integration of f(X)dX ,limit 1/3 to 3? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev