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Consider the following. F(x) = (a) Integrate to find F as a function of x. F(x) = [* sec²(t) dt (b) Demonstrate the Second Fundamental Theorem of Calculus by differentiating the result in part (a). F'(x) = Need Help? Read It

Consider the following. F(x) = (a) Integrate to find F as a function of x. F(x) = [* sec²(t) dt (b) Demonstrate the Second Fundamental Theorem of Calculus by differentiating the result in part (a). F'(x) = Need Help? Read It

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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Consider the following. F(x) = [*sec²(t) dt Jπ/3 (a) Integrate to find F as a function of x. F(x) = (b) Demonstrate the Second Fundamental Theorem of Calculus by differentiating the result in part (a). F'(x) = Need Help? Read It
Transcribed Image Text:Consider the following. F(x) = [*sec²(t) dt Jπ/3 (a) Integrate to find F as a function of x. F(x) = (b) Demonstrate the Second Fundamental Theorem of Calculus by differentiating the result in part (a). F'(x) = Need Help? Read It
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