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Definite Integration question

2025 · 28 Jan · Shift 2 · Q43

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PYQ Library
JEE Main
Mathematics
Definite Integration
2025 · 28 Jan · Shift 2 · Q43

Definite Integration question

2025 · 28 Jan · Shift 2 · Q43

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

f

be a real valued continuous function defined on the positive real axis such that

g(x)=\int\limits_0^x t f(t) d t

. If

g\left(x^3\right)=x^6+x^7

, then value of

\sum\limits_{r=1}^{15} f\left(r^3\right)

is :

A
270
B
340
C
310
D
320

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