anonymous
  • anonymous
Evaluate the integral of csc^2x + cscxcotx dx from pi/4 to pi/2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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amistre64
  • amistre64
do you know your trig derivatives?
amistre64
  • amistre64
\[\int\limits_{} \csc^2 + \csc(x)\cot(x) dx\]
anonymous
  • anonymous
yeah i know them. should i use u substitution?

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amistre64
  • amistre64
\[D(\cot(x)) = \csc^2\]\[D(\csc(x)) = \csc(x)\cot(x)\]
amistre64
  • amistre64
no sub needed; just reverse them back up :)\[\cot(x) + \csc(x) |_{\frac{\pi}{4}}^{\frac{\pi}{2}}\]
anonymous
  • anonymous
Thanks!
amistre64
  • amistre64
the art of substitution and the like are used when we come across a ABnormal integral so that we can make it look like something we can manipulate. This? its already normal :)

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