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anonymous
 5 years ago
Could someone please explain how to find the indefinite integral of csc(x) ?
anonymous
 5 years ago
Could someone please explain how to find the indefinite integral of csc(x) ?

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Owlfred
 5 years ago
Best ResponseYou've already chosen the best response.0Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1\(\csc x=\frac{\csc x(\csc x+\cot x)}{(\csc x+\cot x)}\) Now use substitution \(u=\csc x+\cot x\). Then the integral become \(\int du/u=\ln u+C=\ln\csc x+\cot x+C\)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so you have to multiply by a factor of the derivative of csc(x) divided by itself, or 1, to solve?

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1Well, first yes we multiply by 1 so it won't change anything. But \(\csc x+\cot x\) is not the derivative of \(\csc x\). What I can say that we multiply that weird expression just to make it work. How the first person come up with this trick I have no idea :D.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oops i did not take notice of the plus sign between them, now i see, thanks for the explanation
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