anonymous
  • anonymous
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s)= integral 2 to s (t-t^3)^5
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
the derivative of the integral is the integrand replace \(t\) by \(s\) in the integrand and you are done
anonymous
  • anonymous
this is much much easier than it seems
anonymous
  • anonymous
The fundamental theorem basically says that when you have an integral going from a number to some variable, we substitute that variable for the inside and multiply by it's derivative.

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anonymous
  • anonymous
In this case the derivative of s is just 1 so we can disregard that.
anonymous
  • anonymous
for example, the derivative of \[\int_2^x\frac{t^2+2}{t-1}dt\] is \[=\frac{x^2+2}{x-1}\]
anonymous
  • anonymous
^ Yeah that's good.
anonymous
  • anonymous
thanks...d
anonymous
  • anonymous
No problem :) .

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