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  • 26-03-2017
  • Mathematics
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d/dx[tex] \int\limits^0_x {cos(2 \pi u)} \, du[/tex] is

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LammettHash
LammettHash LammettHash
  • 28-03-2017
[tex]\displaystyle\frac{\mathrm d}{\mathrm dx}\int_x^0\cos2\pi u\,\mathrm du=-\frac{\mathrm d}{\mathrm dx}\int_0^x\cos2\pi u\,\mathrm du=-\cos2\pi x[/tex]

by the fundamental theorem of calculus.
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