Let f : (0, oo) rarr R be a continuous f...

Let `f : (0, oo) rarr R` be a continuous function such that `f(x) = int_(0)^(x) t f(t) dt`. If `f(x^(2)) = x^(4) + x^(5)`, then `sum_(r = 1)^(12) f(r^(2))`, is equal to

A

216

B

219

C

222

D

225

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The correct Answer is:

B

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