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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1
The integral ∫12ex⋅xx(2+log⁡ex)dx\int_1^2 {{e^x} \cdot {x^x}\left( {2 + {{\log }_e}x} \right)dx} equals
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Correct option: C
e(4e−1)e\left( {4e - 1} \right)
Option C (e(4e−1)e(4e - 1)) is correct because it is the result of evaluating the definite integral after applying the substitution method.

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