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(10 points) Find the derivative of the following function F(x) = / (2t 1)3 dt using the Fundamental Theorem of Calculus. F'(x) = (10 points)

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(10 points) Find the derivative of the following function F(x) = / (2t 1)3 dt using the Fundamental Theorem of Calculus. F'(x) = (10 points) Find the following limit using l'Hopital's Rule: . fox x/t cos t dt 11m x>0+ x2 Answer: Enter the word "infinity" if the answer is 00. (10 points) Use the Fundamental Theorem of Calculus to evaluate (if it exists) If the integral does not exist, type "DNE" as your answer.

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