Suppose we know that F'(x) = x cot (x). Simplify [ 2³ cot (2¹³) dr by expressing this integral in terms of the function F.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose we know that F'(x) = x cot (r). Simplify
[ 2³ cot (2¹³) da
by expressing this integral in terms of the function F.
Transcribed Image Text:Suppose we know that F'(x) = x cot (r). Simplify [ 2³ cot (2¹³) da by expressing this integral in terms of the function F.
(a) Find the derivative,
(b) Find the derivative,
dz , In ( tan(e) — arctan(e) )dt.
d
dr J²
sin (vt) dt.
(c) Determine the intervals over which the function F(x) =
concave down.
feºd
et dt is concave up
and
Transcribed Image Text:(a) Find the derivative, (b) Find the derivative, dz , In ( tan(e) — arctan(e) )dt. d dr J² sin (vt) dt. (c) Determine the intervals over which the function F(x) = concave down. feºd et dt is concave up and
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