anonymous
  • anonymous
How to work out, Integral of (3-x)((7^(3-x)^2)) dx?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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zepdrix
  • zepdrix
\[\Huge \int\limits(3-x)7^{\color{#CC0033}{(3-x)^2}}\;dx\] Let u= this red part.
zepdrix
  • zepdrix
\[\Large du=?\]:D
anonymous
  • anonymous
\[\frac{ -7^{(3-x)^{3}} }{ 3\ln(7) }\]

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zepdrix
  • zepdrix
Don't simply post answers. Help the person through the problem -_-
anonymous
  • anonymous
is du, (3-x)^2 and do you bring the 2 down and make if 2(3-x)?
anonymous
  • anonymous
the suspense was killing me >.<
anonymous
  • anonymous
yes with dx at the end
anonymous
  • anonymous
Would u distribute the 2 in?
anonymous
  • anonymous
and a - in front
anonymous
  • anonymous
no
anonymous
  • anonymous
so would dx be du/-2?
anonymous
  • anonymous
du = -2(3-x)dx
anonymous
  • anonymous
yes
anonymous
  • anonymous
remember with u sub you try to substitute all x out
anonymous
  • anonymous
why do you need a - in the front?
anonymous
  • anonymous
chain rule
anonymous
  • anonymous
you also take a derivative of the inside and multiply
anonymous
  • anonymous
derivative of 3 = 0 + derivative of -x = -1
anonymous
  • anonymous
go to this website watch some videos under chain rule great explanations. http://patrickjmt.com/
anonymous
  • anonymous
thank you
anonymous
  • anonymous
no problem, that website is a lifesaver for math

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