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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
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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