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anonymous
 3 years ago
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.
g(s)= integral 2 to s (tt^3)^5
anonymous
 3 years ago
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s)= integral 2 to s (tt^3)^5

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the derivative of the integral is the integrand replace \(t\) by \(s\) in the integrand and you are done

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0this is much much easier than it seems

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0The 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.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0In this case the derivative of s is just 1 so we can disregard that.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0for example, the derivative of \[\int_2^x\frac{t^2+2}{t1}dt\] is \[=\frac{x^2+2}{x1}\]
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