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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 value of ∫_0^ 4/π ( 3x^2 (1)/(x) - x (1)/(x) ) dx is :

The value of ∫04/π(3x2sin⁡1x−xcos⁡1x)dx\int_0^{4/\pi} \left( 3x^2 \sin \frac{1}{x} - x \cos \frac{1}{x} \right) dx is :

Options

  1. A82π3\frac{8\sqrt{2}}{\pi^3}
  2. B242π3\frac{24\sqrt{2}}{\pi^3}
  3. C322π3\frac{32\sqrt{2}}{\pi^3}
  4. DNone of these

Correct answer

C. 322π3\frac{32\sqrt{2}}{\pi^3}

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