1. Tardigrade
  2. Question
  3. Mathematics
  4. Suppose f, f prime and f prime prime are continuous on [0, e] and that f prime(e)=f(e)=f(1)=1 and ∫ limits1e (f(x)/x2) d x=(1/2), then the value of ∫ limits1e f prime prime(x) ln x d x equals -

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Q. Suppose $f, f^{\prime}$ and $f^{\prime \prime}$ are continuous on $[0, e]$ and that $f^{\prime}(e)=f(e)=f(1)=1$ and $\int\limits_1^e \frac{f(x)}{x^2} d x=\frac{1}{2}$, then the value of $\int\limits_1^e f^{\prime \prime}(x) \ln x d x$ equals -

Integrals

Solution:

Correct answer is (d) none of these