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JEE Advanced Mathematics question

MathematicsIndefinite IntegrationJEE Advanced

The value of is

Answer: (D)

Solution

Let . Then

dz=( x x+x) dx= x ( x+ x) dx=z x dx,

so . The limits change as and . Therefore

I==[-Missing argument for \frac\frac{1}{2z

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Question ID VK-110068