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Let f (x) =1+ int _(0) ^(1) (xe ^(y) + ye ^(x)) f (y) dy where x and y are independent vartiables. If complete solution set of 'x' for which function h (x) = f(x) +3x is strictly increasing is (-oo, k) then [(4) e ^(k/3) ] equals to: (where [.] denotes greatest integer function):

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Answer :C


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