Problem 4. Find the following integrals T/4 sin x (a) S Cos2 dx. Use substitution to solve it. cos? x

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...
Question
Problem 4. Find the following integrals
п/4
sin x
(a) S
-dx. Use substitution to solve it.
cos? x
COS x
(b) So/4
-d.x. Use substitution to solve it.
1+ sin? x
1+e
(c) S
(In æ)³
(d) S
dx. Use any method to solve it.
dx. Use substitution to solve it.
(e) Find the average value of the function Y
1
over the interval [1, 4].
%3D
(f) If you have solved problem 3 (c) correctly, you can determine J'In xdx, X >
0. What is it?
Transcribed Image Text:Problem 4. Find the following integrals п/4 sin x (a) S -dx. Use substitution to solve it. cos? x COS x (b) So/4 -d.x. Use substitution to solve it. 1+ sin? x 1+e (c) S (In æ)³ (d) S dx. Use any method to solve it. dx. Use substitution to solve it. (e) Find the average value of the function Y 1 over the interval [1, 4]. %3D (f) If you have solved problem 3 (c) correctly, you can determine J'In xdx, X > 0. What is it?
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