I ln(secx+ tgx)dx= tgx*ln(secx+tgx) -1/cosx

On 7/31/07, saulo nilson <[EMAIL PROTECTED]> wrote:
>
> w=lnsecx+tgx
> dw= 1/secx+tgx * (-1/cosx^2 *-senx +secx^2)dx=
> dw= cosxdx
> cosxe^w-1=rq(1-cosx^2)
> e^2wcosx^2-2cosxe^w+1=1-cosx^2
> cosx^2(e^2w+1)-2cosxe^w=0
> cosx= 2e^w/(e^2w+1)=2/(e^w+e^-w)=1/coshw
> I w *coshw dw
> u= w
> du=dw
> dv=coshwdw
> v= senhw
> I ln(sec x+tgx)dx= w*senhw-Isenhwdw= wsenhw-coshw
> =`(n(secx+tgx) -1/cosx
>
>
> On 7/31/07, antonio ricardo < [EMAIL PROTECTED]>
> wrote:
> >
> > ola
> > poderiam me ajudar a resolver a seguinte integral
> >
> > integral de ln(secx + tgx)
> >
> > valeu
> >
> > Alertas do Yahoo! Mail em seu celular. Saiba 
> > mais<http://br.mobile.yahoo.com/mailalertas/>.
> >
> >
>
>

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