Let I = e^x e^ 4x + e^ 2x + 1 ,dx, J = e^ -x e^ -4x + e^ -2x + 1 ,dx. Then, for an arbitrary constant C, the value of J − I equals

JEE Advanced 2008 Mathematics question

Let

I = dx, J = dx.

Then, for an arbitrary constant C, the value of J − I equals

Answer: (C)

Multiplying numerator and denominator of J's integrand by : . So . With : $du = {1

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Question ID VK-037612