rainbowwedell rainbowwedell
  • 16-01-2018
  • Mathematics
contestada

Evaluate ∫ cot 2x dx.

A. ½ Ln cos 2x + C
B. ½ Ln sec 2x + C
C. ½ Ln sin 2x + C
D. ½ Ln csc 2x + C

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carlosego
carlosego carlosego
  • 16-01-2018
∫ cot 2x dx=
 ∫ ((cos (2x))/(sen(2x)) dx
 u=sen(2x)
 du=2cos(2x)dx
 ∫ ((1/2)*(1/u))du=
 (1/2)*Ln(u) + C
 (1/2)*Ln(sen(2x)) + C
 answer
 C. ½ Ln sin 2x + C
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