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Differential Equations question

2011 · Shift 1 · Q46

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JEE Advanced
Mathematics
Differential Equations
2011 · Shift 1 · Q46

Differential Equations question

2011 · Shift 1 · Q46

JEE AdvancedMathematicsDifferential EquationsNumerical+3 / −1

Let

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

be a differentiable function such that

f(1) = 2

. If

6\int\limits_1^x {f(t)dt = 3xf(x) - {x^3} - 5}

for all

x \ge 1

, then the value of f(2) is

\underline{\hspace{2cm}}

.

Numerical answer

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