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  • Civil Engg. (GATE) 2007
  • Evaluate: $\int \limits_0^\infty \frac{sin t}{t}dt$
Multiple choice

Evaluate: $\int \limits_0^\infty \frac{sin t}{t}dt$

  1. x

  2. $\frac{\pi}{2}$
  3. $\frac{\pi}{4}$
  4. $\frac{\pi}{3}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The integral of (sin t)/t from 0 to infinity is a standard Dirichlet integral, which evaluates to pi/2.

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