Mathc initiation/Fichiers c : c78cgc2
Application de sinh(x)cosh(y)
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Etudier: | sinh(ax)cosh(bx) dx =
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| sinh(ax)cosh(bx) = 1/2 [sinh(ax-bx) + sinh(ax+bx)] |
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donc | sinh(ax)cosh(bx) dx = | 1/2 [sinh(ax-bx) + sinh(ax+bx)] dx
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= 1/2 | sinh(ax-bx) + 1/2 | sinh(ax+bx) dx
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Exemple: | sinh(3x)cosh(2x) dx = = 1/2 | sinh(3x-2x) + 1/2 | sinh(3x+2x) dx
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= 1/2 | sinh(x) + 1/2 | sinh(5x) dx
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