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Emineyy
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
the derivative of the integral is the integrand replace \(t\) by \(s\) in the integrand and you are done
this is much much easier than it seems
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.
In this case the derivative of s is just 1 so we can disregard that.
for example, the derivative of \[\int_2^x\frac{t^2+2}{t-1}dt\] is \[=\frac{x^2+2}{x-1}\]