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UPSC NDA I 2023 Mathematics Solved Paper

Consider the following for the next three (03) items that follow :

Let

f(x)=P e^x+Q e^{2x}+R e^{3x}

, where

P, Q

R

are real numbers. Further

f(0)=6

f'(\ln 3)=282

and

\int\limits_{0}^{\ln 2} f(x) dx=11

[NDA I 2023]

Question : 72 of 120

Marks: +1, -0

What is the value of

R ?

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