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Let f be a real valued continuous function defined on the positive real axis such that g(x)= ∫ x 0 t f (t)dt. If g(x 3 ) = x 6 + x 7 , then value of ∑ − 15 1 r f (r 3 ) is :

1. 320
2. 340
3. 270
4. 310

Correct answer: 310

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