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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1
The area bounded by y=xe∣x∣y = x{e^{\left| x \right|}} and lines ∣x∣=1,  y=0\left| x \right| = 1,\;y = 0 is
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Correct option: D
2 sq unit
Option D (2 sq unit) is correct because it represents the sum of the absolute values of the definite integrals of xe∣x∣xe^{|x|} from -1 to 0 and 0 to 1.

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