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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

If ∫_0^∞ ( x)/(x) dx = (π)/(2) , then ∫_0^∞ ( ^3 x)/(x) dx is...

If ∫0∞sin⁡xxdx=π2\int_0^\infty \frac{\sin x}{x} dx = \frac{\pi}{2}, then ∫0∞sin⁡3xxdx\int_0^\infty \frac{\sin^3 x}{x} dx is equals to :

Options

  1. Aπ2\frac{\pi}{2}
  2. Bπ4\frac{\pi}{4}
  3. Cπ\pi
  4. D3π2\frac{3\pi}{2}

Correct answer

A. π2\frac{\pi}{2}

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