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JEE Main 2026Mathematics Calculus

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mcq
2026
Official previous-year question

Verified 30 May 2026.

Question

The value of ∫₀¹ x·eˣ dx is:

Options

  1. A

    1

  2. B

    e - 1

  3. C

    e

  4. D

    2e - 1

Solution

Using integration by parts: ∫x·eˣ dx = x·eˣ - eˣ. Evaluating from 0 to 1: (e - e) - (0 - 1) = 1

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