rainbowwedell rainbowwedell

16-01-2018
Mathematics

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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

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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