Which of the following correctly states the First Fundamental Theorem of Calculus? (Read carefully, paying close attention to the details!) O A. If fis continuous on [a, b], F(x) = [°Rx)dt is a differentiable function of x on (a, b), and its derivative is F'(x) = 0} = R*). B. If fis continuous on [a, b], then F(+) = [AMdx is a differentiable function of t on [a, b]), and its derivative is F'() = )-r). c. If fis continuous on [a, b), F(*) = J, At)at is a differentiable function of x on [a, b), and its derivative is F'(+) = 0na) -1+). O D. If fis differentiable on [a, b], F(«) = Jda is a continuous function of x on [a, b), and its derivative is F'(e) - 0)dr } =Rt). E. If fis differentiable on [a, b), F(*) = [*A)at is a differentiable function of x on [a, b), and its derivative is F'(4) = ) -).

Which of the following correctly states the First Fundamental Theorem of Calculus? (Read carefully, paying close attention to the details!) O A. If fis continuous on [a, b], F(x) = [°Rx)dt is a differentiable function of x on (a, b), and its derivative is F'(x) = 0} = R). B. If fis continuous on [a, b], then F(+) = [AMdx is a differentiable function of t on [a, b]), and its derivative is F'() = )-r). c. If fis continuous on [a, b), F() = J, At)at is a differentiable function of x on [a, b), and its derivative is F'(+) = 0na) -1+). O D. If fis differentiable on [a, b], F(«) = Jda is a continuous function of x on [a, b), and its derivative is F'(e) - 0)dr } =Rt). E. If fis differentiable on [a, b), F() = [A)at is a differentiable function of x on [a, b), and its derivative is F'(4) = ) -).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 77E

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