Integrate (cos^2(x))/(sin^6(x))

  • Thread starter n77ler
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  • #1
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[SOLVED] ff

Homework Statement



integrate (cos^2(x))/(sin^6(x))

Homework Equations



Double angles?
u-sub?

The Attempt at a Solution



I tried using double angles but im really not sure what to do I havnt seen any like this... I have only done stuff without fraction like integrating cos^3x sin^5x can anyone just start me off please
 
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Answers and Replies

  • #2
tiny-tim
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Hi n77ler! :smile:

Hint: it's cosec^6(x) - cosec^4(x).

Does that help … ? :smile:
 
  • #3
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hmm kind of Im not sure where you got that though. The division in an integral can be changed to subtration i guess... but im not sure how you are getting the two csc's. I know it is 1/sin but not sure other than that
 
  • #4
tiny-tim
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cos^2(x)/sin^6(x)

= (1 - sin^2(x))/sin^6(x) = 1/sin^6(x) - 1/sin^4(x)

= cosec^6(x) - cosec^4(x). :smile:
 
  • #5
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right, god lol I'm not functioning well right now.
 
  • #6
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ok so i seperate those into two different integrals and then integrate right
 
  • #8
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meh gave up cause it was to much parts so i went back to start and found an easier way lol...

(cos^2x/sin^2x ) (1/sin^4x) and then cot^2xcsc^4x and solved...thanks tho :)
 

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