anonymous
  • anonymous
how do you work out the integral of 4t^3 times squareroot(1+9t^4)dt
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
try a substitution of a trig function
anonymous
  • anonymous
a trig function? l dont follow
Muhammad_Nauman_Umair
  • Muhammad_Nauman_Umair
As, \[\int\limits4t^3*\sqrt{1+9t^4} dt=1/9(\int\limits36t^3*\sqrt{1+9t^4} dt)=1/9*{(1+9t^4)^{3/2}}/(3/2)\]

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Muhammad_Nauman_Umair
  • Muhammad_Nauman_Umair
then \[2/27*(1+9t^4)^{3/2}+c \]
Callisto
  • Callisto
1 Attachment
Callisto
  • Callisto
Sorry , a little bit messy :(
Muhammad_Nauman_Umair
  • Muhammad_Nauman_Umair
Got my way or not
Callisto
  • Callisto
@Muhammad Nauman Umair some of your steps are missing because of the usage of equation...
Muhammad_Nauman_Umair
  • Muhammad_Nauman_Umair
the steps which i skipped are not difficult to understand @callisto
anonymous
  • anonymous
oh thanx guys that was really helpful
Muhammad_Nauman_Umair
  • Muhammad_Nauman_Umair
welcome

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