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Definite Integration question

2009 · Shift 2 · Q20
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  5. /2009 · Shift 2 · Q20

Definite Integration question

2009 · Shift 2 · Q20

JEE AdvancedMathematicsDefinite IntegrationNumerical+3 / −1
Let f:R→Rf:R \to Rf:R→R be a continuous function which satisfies f(x)=∫0xf(t)dtf(x) = \int\limits_0^x {f(t)dt}f(x)=0∫x​f(t)dt. Then, the value of f(ln⁡5)f(\ln 5)f(ln5) is ‾\underline{\hspace{2cm}}​.
Numerical answer
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