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bii17 Group Title

integrate csc^5 x dx

  • one year ago
  • one year ago

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  1. .Sam. Group Title
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    http://www.chegg.com/homework-help/questions-and-answers/integral-csc-5-x-q47028

    • one year ago
  2. AravindG Group Title
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    got it ?

    • one year ago
  3. TuringTest Group Title
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    \[\csc^2x=\cot^2x+1\]so\[\int\csc^5xdx=\int\csc x(\csc^4x)dx=\int\csc x(1+\cot^2x)^2dx\]this can be done from here using u-substitutions; remember that\[\frac d{dx}\csc x=-\csc x\cot x\]

    • one year ago
  4. bii17 Group Title
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    what happen next @TuringTest

    • one year ago
  5. TuringTest Group Title
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    expand and simplify\[\csc x(1+\cot^2x)^2\]what do you get?

    • one year ago
  6. bii17 Group Title
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    csc x(1 + 2 cot^2 x + cot^4 x)

    • one year ago
  7. TuringTest Group Title
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    good, and distributing csc x...

    • one year ago
  8. TuringTest Group Title
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    oh dear, I really messed that up, never mind my original suggestion... your integral is actually pretty darn tricky, I will have to reevaluate my approach.

    • one year ago
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