ST3aninityann
ST3aninityann ST3aninityann
  • 13-10-2016
  • Mathematics
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Trig integrals. sqrt(1-cos2x)dx

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HomertheGenius
HomertheGenius HomertheGenius
  • 18-10-2016
1 - cos 2 x = 1 - ( cos² x - sin² x ) = 1 - cos² x + sin² x = sin² x + sin² x =
 = 2 sin² x
[tex] \int { \sqrt{2sin ^{2} x} } \, dx = \sqrt{2} \int {sinx} \, dx =[/tex]
= - √2 cos x + C

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