Fundamental theorem of calculusMedium

Integration of Function with Cubic Limits

Let f be a real valued continuous function defined on the positive real axis such that g(x)= $\int\limits_0^x {tƒ(t)} dt$ . If g(x³) = x⁶ + x⁷, then value of $\sum\limits_{r = 1}^{15} {ƒ({r^3})}$ is :

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