JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

A function

f(x)

satisfying

\int\limits_{0}^1 f(t x) d t=n f(x)

, where

x>0

, is

View answer and explanation

Correct option: A

f(x)=C \cdot x^{\frac{1-n}{n}}

Option A is correct because the function satisfies the given integral equation, which leads to a differential equation that can be solved.

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