Matematika/Furje eilutės: Skirtumas tarp puslapio versijų

:<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==