anonymous
  • anonymous
Find the derivative of \[y = \int\limits_{a}^{x^{2}\tan(x)} dt/(1+t^{2})\] How do I do this? can I just insert x^(2)tan(x) directly into x and cancel out the integral?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
you mean insert x^2*tanx into t to cancel out the integral... yes but you must also multiply by the derivative.... |dw:1333387289253:dw|
anonymous
  • anonymous
Thanks just using chain rule :)
anonymous
  • anonymous
so y' = 2xsec^(2)(x)/1+(x^(2)tan(x)) would be the unsimplified answer

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anonymous
  • anonymous
crud I messed up and didnt use product rule
anonymous
  • anonymous
|dw:1333387749220:dw|
anonymous
  • anonymous
it would be y' = (2xtan(x) + x^(2)sec^(2)(x))/1+(x^(2)tan(x))
anonymous
  • anonymous
u got it... :)
anonymous
  • anonymous
thanks for the help
anonymous
  • anonymous
np

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