Let f be 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 value of \sum_{{r=1}}^{{15}} f (r^3) is : [28 Jan 2025 Shift 2]

Definite Integrals Part 3

Section: Mathematics

Question : 34 of 115

Marks: +1, -0

Let f be real valued continuous function defined on the positive real axis such that g(x)=

∫

tf(t)‌dt. If g(x3)=x6+x7, then value of

∑

r=1

f(r3) is :

[28 Jan 2025 Shift 2]

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