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bii17

  • 2 years ago

integrate csc^5 x dx

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  1. .Sam.
    • 2 years ago
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    http://www.chegg.com/homework-help/questions-and-answers/integral-csc-5-x-q47028

  2. AravindG
    • 2 years ago
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    got it ?

  3. TuringTest
    • 2 years ago
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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\[\frac d{dx}\csc x=-\csc x\cot x\]

  4. bii17
    • 2 years ago
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    what happen next @TuringTest

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

  6. bii17
    • 2 years ago
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    csc x(1 + 2 cot^2 x + cot^4 x)

  7. TuringTest
    • 2 years ago
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    good, and distributing csc x...

  8. TuringTest
    • 2 years ago
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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.

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