Lys van integrale: Verskil tussen weergawes
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Alias (besprekings | bydraes) k ortografie: 'n |
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Lyn 78:
:<math>\int_0^\infty\frac{\sin(x)}{x}\,dx=\frac{\pi}{2}</math>
:<math>\int_0^\frac{\pi}{2}\sin^n{x}\,dx=\int_0^\frac{\pi}{2}\cos^n{x}\,dx=\frac{1 \cdot 3 \cdot 5 \cdot \cdots \cdot (n-1)}{2 \cdot 4 \cdot 6 \cdot \cdots \cdot n}\frac{\pi}{2}</math> (mits ''n''
:<math>\int_0^\frac{\pi}{2}\sin^n{x}\,dx=\int_0^\frac{\pi}{2}\cos^n{x}\,dx=\frac{2 \cdot 4 \cdot 6 \cdot \cdots \cdot (n-1)}{3 \cdot 5 \cdot 7 \cdot \cdots \cdot n}</math> (mits ''n''
:<math>\int_0^\infty\frac{\sin^2{x}}{x^2}\,dx=\frac{\pi}{2}</math>
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