antiderivadasTarea 9 (solución) (1)

antiderivadasTarea 9 (solución) (1) -...

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Unformatted text preview: Tarea 9 Calcule las antiderivadas indicadas: 1. xsenxdx Solución: Tomemos d x d u d x d u x u 1 y tomemos x senxxdx dv v senxdx dv cos Así tenemos que vdu uv udv xsenxdx xdx x x cos cos ) ( cos 1 C senx x x C senx x x cos Por tanto C senx x x xsenxdx cos 2. xdx x 2 csc Solución: Tomemos d x d u d x d u x u 1 y tomemos x xdx c dv v xdx dv cot csc csc 2 2 Así tenemos que vdu uv udv xdx x 2 csc xdx x x cot cot ] ) ln( [ cot 1 C senx x x C senx x x ) ln( cot Por tanto C senx x x xdx x ) ln( cot csc 2 3. xdx x ln 2 Solución: Tomemos d x x d u x d x d u x u 1 1 l n y tomemos 3 2 2 3 1 x dx x dv v dx x dv Así tenemos que...
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antiderivadasTarea 9 (solución) (1) -...

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