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Definite Integration question

2025 · 2 Apr · Shift 2 · Q27

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PYQ Library
JEE Main
Mathematics
Definite Integration
2025 · 2 Apr · Shift 2 · Q27

Definite Integration question

2025 · 2 Apr · Shift 2 · Q27

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

f:[1, \infty) \rightarrow[2, \infty)

be a differentiable function. If

10 \int_1^1 f(\mathrm{t}) \mathrm{dt}=5 x f(x)-x^5-9

for all

x \geqslant 1

, then the value of

f(3)

is :

A
22
B
26
C
32
D
18

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