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bii17
 3 years ago
integrate csc^5 x dx
bii17
 3 years ago
integrate csc^5 x dx

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.Sam.
 3 years ago
Best ResponseYou've already chosen the best response.0http://www.chegg.com/homeworkhelp/questionsandanswers/integralcsc5xq47028

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1\[\csc^2x=\cot^2x+1\]so\[\int\csc^5xdx=\int\csc x(\csc^4x)dx=\int\csc x(1+\cot^2x)^2dx\]this can be done from here using usubstitutions; remember that\[\frac d{dx}\csc x=\csc x\cot x\]

bii17
 3 years ago
Best ResponseYou've already chosen the best response.0what happen next @TuringTest

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1expand and simplify\[\csc x(1+\cot^2x)^2\]what do you get?

bii17
 3 years ago
Best ResponseYou've already chosen the best response.0csc x(1 + 2 cot^2 x + cot^4 x)

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1good, and distributing csc x...

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1oh 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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