Mathc initiation/Fichiers c : c77cw2
Application de sin(x)sin(y) ;
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Etudier: | sin(ax)sin(bx) dx =
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| sin(ax)sin(bx) = 1/2 [cos(ax-bx) - cos(ax+bx)] |
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donc | sin(ax)sin(bx) dx = | 1/2 [cos(ax-bx) - cos(ax+bx)] dx
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= 1/2 | cos(ax-bx) - 1/2 | cos(ax+bx) dx
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Exemple: | sin(3x)sin(2x) dx = = 1/2 | cos(3x-2x) - 1/2 | cos(3x+2x) dx
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= 1/2 | cos(x) - 1/2 | cos(5x) dx
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