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C&Atilde;&iexcl;lculo antiderivadas (repaso) (1)

# C&Atilde;&iexcl;lculo antiderivadas (repaso) (1) -...

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Calcule las siguiente antiderivadas 1. dx x 1 2 Solución: Tomemos dx du dx du x u 2 2 1 2 Así, tenemos que ) 2 3 ( 2 1 2 1 2 ) 1 2 ( 2 1 2 ) 1 2 ( 2 1 ) 1 2 ( 1 2 1 2 3 2 1 2 1 2 1 2 1 C u du u dx x dx x dx x dx x C x C u 2 3 2 3 ) 1 2 ( 3 1 3 1 Por tanto C x dx x 2 3 ) 1 2 ( 3 1 1 2

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2. dx x x 1 4 2 Solución: Tomemos xdx du x dx du x u 2 2 1 2 Así, tenemos que ) 2 3 ( 2 2 2 ) 1 ( 2 2 ) 1 ( 2 4 ) 1 ( 1 4 1 2 3 2 1 2 1 2 2 1 2 2 1 2 2 C u du u xdx x xdx x xdx x dx x x C x C u 2 3 2 2 3 ) 1 ( 3 4 3 4 Por tanto C x dx x x 2 3 2 2 ) 1 ( 3 4 1 4
3. dx x x 1 4 2 Solución: Tomemos xdx du x dx du x u 2 2 1 2 Así, tenemos que ) 2 1 ( 2 2 2 ) 1 ( 2 2 ) 1 ( 2 4 ) 1 ( 1 4 1 2 1 2 1 2 1 2 2 1 2 2 1 2 2 C u du u xdx x xdx x xdx x dx x x

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C&Atilde;&iexcl;lculo antiderivadas (repaso) (1) -...

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