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# Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.$\displaystyle g(s) = \int^s_5 (t - t^2)^8 \,dt$

## $\left(8-s^{2}\right)^{8}$

Integrals

Integration

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### Video Transcript

Okay. G prime of asked using the fundamental theme of calculus. It's the integral from five to us team honesty squared to the eighth Power DT, which gives us g prov ass. This simply asked months squared to the eighth powers. In other words, were substituting the teas go away and now have s is