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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

Let f: R^+ arrow R be a differentiable function with f(1) = 3 and...

Let f:R+→Rf: R^+ \rightarrow R be a differentiable function with f(1)=3f(1) = 3 and satisfying : ∫1xyf(t)dt=y∫1xf(t)dt+x∫1yf(t)dt  ∀x,y∈R+\int_1^{xy} f(t) dt = y \int_1^x f(t) dt + x \int_1^y f(t) dt \;\forall x, y \in R^+, then f(e)=f(e) =

Options

  1. A3
  2. B4
  3. C1
  4. DNone of these

Correct answer

D. None of these

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