purplecod581Lv1
6 Jan 2022
Problem 30c
Page 374
Section 5.4: The Fundamental Theorem of Calculus
Chapter 5: Integrals
Textbook ExpertVerified Tutor
6 Jan 2022
Given information
given that
and 
Step-by-step explanation
Step 1.
Find the left and right limits at 
Since 
is continuous at 
is continuous at Since 
is continuous at 
is continuous at Since 
is continuous at 
is continuous at Also 
and 
are continuous functions
and are continuous functionsThis means that 
is continuous everywhere
is continuous everywhereSince is continuous everywhere, by fundamental theorem 
is differentiable everywhere
is continuous everywhere, by fundamental theorem is differentiable everywhereDifferentiate to get
to get
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 2d
- Problem 3a
- Problem 3b
- Problem 3c
- Problem 3d
- Problem 4a
- Problem 4b
- Problem 4c
- Problem 4d
- Problem 4e
- Problem 4f
- Problem 5
- Problem 5d
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19a
- Problem 19b
- Problem 19c
- Problem 19d
- Problem 20a
- Problem 20b
- Problem 20c
- Problem 20d
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 24
- Problem 25
- Problem 26a
- Problem 26b
- Problem 27a
- Problem 27b
- Problem 27c
- Problem 28a
- Problem 28b
- Problem 28c
- Problem 28d
- Problem 28e
- Problem 29
- Problem 30a
- Problem 30b
- Problem 30c
- Problem 31
- Problem 32a
- Problem 32b
- Problem 32c
- Problem 32d
- Problem 33a
- Problem 33a
- Problem 33b
- Problem 33c