Suaef(Ox-tan(Sx-) dx 2 2 16x3 dx 4

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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Question
Suaef(Ox-tan(Sx-)
dx
2
2
Transcribed Image Text:Suaef(Ox-tan(Sx-) dx 2 2
16x3
dx
4
Transcribed Image Text:16x3 dx 4
Expert Solution
Step 1

Given:

a) sec 8.x
tan 8.x
2
dx
2
16x
b)J
-dc
e**
Step 2

Solution of part (a) is given below:

d
-sec 8x-
dx
tan 8r
2
=sec 8x
2
2
So,
C =Jsec &r-
dx
sec 8r
tan 8x
2
2
tan 8.x
2
dx sec 8x
2
|sec 8x
+C
2
Step 3

Solution of part (b) is given below:

·16x³
- dx
Let x* =t
4x dx = dt
dt
de
4.x
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