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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1
Given ∫12ex2dx=a\int\limits_{1}^2 e^{x^2} d x=a, the value of ∫ee4log⁡ex dx\int\limits_{e}^{e^4} \sqrt{\log _e x} \,d x, is
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Correct option: D
2e4−e−a2 e^4-e-a
Option D (2e4−e−a2 e^4-e-a) is correct because it is obtained by using substitution and integration by parts on the given integral.

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