Dirichlet-Type Integral
For suitable values of the parameters:
$$\int_0^\infty\frac{\sin ax}{x}\,dx=\frac{\pi}{2},\quad a>0$$
Usage
- Appears in advanced improper-integral problems involving oscillatory functions.
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CAT Formulas
Indefinite Integration
Dirichlet-Type Integral
Dirichlet-Type Integral
For suitable values of the parameters:
$$\int_0^\infty\frac{\sin ax}{x}\,dx=\frac{\pi}{2},\quad a>0$$
Usage
- Appears in advanced improper-integral problems involving oscillatory functions.
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