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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

The minimum value of f(x) = ∫_0^3 e^ |x-t| dt where x ∈ is :

The minimum value of f(x)=∫03e∣x−t∣dtf(x) = \int_0^3 e^{|x-t|} dt where x∈x \in is :

Options

  1. A2e2−12e^2 - 1
  2. Be4−1e^4 - 1
  3. C2(e2−1)2(e^2 - 1)
  4. De2−1e^2 - 1

Correct answer

C. 2(e2−1)2(e^2 - 1)

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