Let d dx F(x)= e^ x x , x>0. If _1^4 2e^ x^2 x ,dx=F(k)-F(1) then one of the possible values of k is

JEE Advanced Mathematics question

Let . If then one of the possible values of is

Answer: (C)

Put , so and therefore . The limits become and . Then

dx={e^{

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Question ID VK-109497