FUNDAMENTAL THEOREM OF CALCULUS

Question

Let 𝑔(𝑥)= lower index 1, upper index x ∫-5ln(t)dt

Use the Fundamental Theorem of Calculus to find 𝑔′(𝑥)

Answer 1

Hi Mary!

For the purposes of this question, the fundamental theorem of calculus tells us essentially that derivatives and integrals cancel out; if you take the derivative of an integral, the result is what's inside the integral.

So, for your problem, g'(x) = -5ln(x).

I hope this helps! I know this can be tricky to get your head around, sof feel free to reach out to me with any questions.