Let I_1= _0^1 e^ -x^2 dx, I_2= _0^1 e^ -x ^2x ,dx and I_3= _0^1 e^ -x^2 ^2x ,dx. Then

JEE Advanced Mathematics question

Let , and . Then

Answer: (D)

For : , so , giving .

Also in , so and ; multiplying by

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Question ID VK-109546