Let f be a real-valued continuous function defined on the positiv… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 28 January, Shift 2Indefinite Integrals

Let $f$ be a real-valued continuous function defined on the positive real axis such that $g(x) = \int_0^x t f(t) \, dt$ . If $g(x^3) = x^6 + x^7$ , then the value of $\sum_{r=1}^{15} f(r^3)$ is:

A
$320$
B
$340$
C
$270$
D
$310$

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