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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

Maximum value of the function f(x) = π^2 ∫_0^1 t (x + π t) dt over...

Maximum value of the function f(x)=π2∫01tsin⁡(x+πt)dtf(x) = \pi^2 \int_0^1 t \sin(x + \pi t) dt over all real number xx :

Options

  1. Aπ2+1\sqrt{\pi^2 + 1}
  2. Bπ2+2\sqrt{\pi^2 + 2}
  3. Cπ2+3\sqrt{\pi^2 + 3}
  4. Dπ2+4\sqrt{\pi^2 + 4}

Correct answer

D. π2+4\sqrt{\pi^2 + 4}

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