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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1
The maximum value of ∫a−1a+1e−(x−1)2dx\int\limits_{{a-1}}^{a+1} e^{-(x-1)^2} d x is attained ( aa is real) at
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Correct option: B
a=1a=1
Option B (a=1) is correct because the maximum value is attained when the derivative of the integral with respect to 'a' is zero, which occurs at a=1.

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