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UPSC NDA I 2023 Mathematics Solved Paper

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Consider the following for the next three (03) items that follow :
Let f(x)=Pex+Qe2x+Re3x, where P,Q, R are real numbers. Further f(0)=6, f′(ln‌3)=282 and
‌
∫
0
ln‌2‌f(x)‌dx=11
[NDA I 2023]
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