chalte chalte ques3

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find the no of functions such that

I₁=₀âˆ«¹f(x) dx = 1,
I₂=₀âˆ«¹xf(x) dx =a and
I₃=₀âˆ«¹x²f(x) dx =a²

is
a)1
b)2
c)0
d)infinite

plz provide suitable arguments and not stray answers

#Mathematics #Calculus

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5 Answers

11

Mani Pal Singh ·2009-03-26 08:04:39

FROM

I₂ WE GET x=1+a
I₃ WE GET x²=1+a²

NOW THE QUESTION IS URS

THE ANSWER IS 0

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24

eureka123 ·2009-03-26 19:23:40

Solved by bhatt sir here..........http://targetiit.com/iit_jee_forum/posts/integration_3164.html

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62

Lokesh Verma ·2009-03-26 21:52:23

I did not get teh logic of your proof..

Trust me.. I have met very good guys at mathematics but not many of the quality of Prophet sir.. So dont worry about him being far better than you :)

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11

Mani Pal Singh ·2009-03-26 21:55:00

NO SIR

THERE IS NO QUESTION ABOUT THAT

HE IS limx-->âˆž (FAR)^X TIMES BETTER THAN ME

PLEASE DON'T INSULT HIM BY COMPARING WITH ME [2]

but i thought i gave a logical proof

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62

Lokesh Verma ·2009-03-26 22:00:02

I2 WE GET x=1+a

I did not understand how!

is there a very simple thing that i am missing?

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