Mathc initiation/Fichiers c : c78cga2
Application de sinh(x)sinh(y) ;
/
Etudier: | sinh(ax)sinh(bx) dx =
/
____________________________________________________
| sinh(ax)sinh(bx) = 1/2 [cosh(ax-bx) - cosh(ax+bx)] |
|____________________________________________________|
/ /
donc | sinh(ax)sinh(bx) dx = | 1/2 [cosh(ax-bx) - cosh(ax+bx)] dx
/ /
/ /
= 1/2 | cosh(ax-bx) - 1/2 | cosh(ax+bx) dx
/ /
*****************
/ / /
Exemple: | sinh(3x)sinh(2x) dx = = 1/2 | cosh(3x-2x) - 1/2 | cosh(3x+2x) dx
/ / /
/ /
= 1/2 | cosh(x) - 1/2 | cosh(5x) dx
/ /