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  • 21-11-2016
  • Mathematics
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Find the arc length of the curve y = ln (cos x) for 0 < x < pi/4

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Nirina7
Nirina7 Nirina7
  • 24-11-2016
the solution is

L = S(ln (cos x))'dx = S(-sinx / cosx)dx =        
       0 < x < pi/4            0 < x < pi/4
let be U=cosx    dU= -sinxdx
so
S(-sinx / cosx)dx =  SdU/U =                      LnU                =0-1/2ln2-ln2 =1/2)Ln2
0 < x < pi/4                1>U>sqrt 2/2            1>U>sqrt 2/2




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