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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1
If for n≥1,Pn=∫1e(log⁡x)ndxn \geq 1, P_n=\int\limits_{1}^e(\log x)^n d x, then P10−90P8P_{10}-90 P_8 is equal to:
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Correct option: C
−9e-9 \mathrm{e}
Option C (-9e) is correct because it is the result of applying integration by parts and simplifying the expression.

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