limx→∞ ∫02x xex2dxe4x2 equals

limx02xxex2dxe4x2 equals

  1. A

    0

  2. B

  3. C

    2

  4. D

    12

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    Solution:

    We have,

    limx02xxex2dxe4x2=limx02xex2dx22e4x2=limxex202x2e4x2

    limx02xxex2dxe4x2=limxe4x212e4x2=limx121e4x2=12

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