Matematika/Furje eilutės: Skirtumas tarp puslapio versijų
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185 eilutė:
:<math>a_0=\frac{2}{l}\int_0^l x\text{d}x=\frac{2}{l}\cdot \frac{x^2}{2}|_0^l=\frac{2}{l}\cdot \frac{l^2}{2}=l;</math>
:<math>a_n=\frac{2}{l}\int_0^l x\cos\frac{n\pi x}{l}\text{d}x=\frac{2}{l}\left(\frac{l\cdot x\sin\frac{n\pi x}{l}}{n\pi}|_0^l-\frac{l}{n\pi}\int_0^l\sin\frac{n\pi x}{l}\text{d}x \right)=</math>
:<math>=\frac{2}{l}\left(\frac{l^2\sin\frac{n\pi l}{l}}{n\pi}+\frac{l}{n^2\pi^2}\cos\frac{n\pi x}{l}|_0^l \right)=\frac{2}{l}\left(\frac{l^2\sin(n\pi)}{n\pi}+\frac{l}{n^2\pi^2}(\cos\frac{n\pi l}{l}-\cos\frac{n\pi \cdot 0}{l}) \right)=</math>
==Nuorodos==
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