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Dirichlet Kernel Integral
For a positive integer $$n$$:
$$\int_{-\pi}^{\pi}\frac{\sin\left((n+\frac12)x\right)}{\sin(x/2)}\,dx=2\pi$$
Usage
- Advanced result appearing in Fourier-analysis-type problems.
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Dirichlet Kernel Integral
For a positive integer $$n$$:
$$\int_{-\pi}^{\pi}\frac{\sin\left((n+\frac12)x\right)}{\sin(x/2)}\,dx=2\pi$$
Usage
- Advanced result appearing in Fourier-analysis-type problems.
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