If I_n = _ - ^ nx (1 + ^x) x ,dx, n = 0, 1, 2, , then

JEE Advanced 2009 Mathematics question

= dx, n = 0, 1, 2, ,

then

Answer: (A),(B),(C)

Replacing x by −x and adding the two forms (the integrand is even), , so . Then $ - = ^π{(n +

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Question ID VK-037754