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
please solve 393,395
![Chapter 1 | Integration
1.7 EXERCISES
In the following exercises, evaluate each integral in terms
of an inverse trigonometric function.
391.
392.
393.
394.
395.
396.
√3/2
0
1/2
-1/2
S
√3
dx
√₁-x²
2
√3
dx
2
_√1 + x²
dx
dx
-1 + x²
1/√√31
2/√3
2
dx
Ix√√√x² - 1
dx
x√√√x² - 1
In the following exercises, find each indefinite integral,
using appropriate substitutions, and state the domain of the
403.
-cos-¹t+C =
404.
general, that cos¯¹t = −sin¯¹t?
sec=¹t+C =
Page
- S
dt
relationship
Explain
dt
= sin ¹t+C. Is it true, in
√1-t²
Explain
dt
the
dt
-₁ lt√ √ ₂² – 1
1
It√√√₂² - 1
general, that sec t = −csc-¹t?
the
of 7
111
relationship
= −csc¯¹t+C. Is it true, in
405. Explain what is wrong with the following integral:
2
406. Explain what is wrong with the following integral:
1
Sf
In the following exercises, solve for the antiderivative
of f with C = 0, then use a calculator to graph f and
the antiderivative over the given interval [a, b]. Identify a
value of C such that adding C to the antiderivative recovers
the definite integral F(x) = f(
f(t)dt.
ZOOM
+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03fd5f25-eded-4046-9c65-9e89b5e28b89%2Fc11adf7d-6753-49c4-bddf-ea19206dbc37%2Fvwkblrh_processed.png&w=3840&q=75)
Transcribed Image Text:Chapter 1 | Integration
1.7 EXERCISES
In the following exercises, evaluate each integral in terms
of an inverse trigonometric function.
391.
392.
393.
394.
395.
396.
√3/2
0
1/2
-1/2
S
√3
dx
√₁-x²
2
√3
dx
2
_√1 + x²
dx
dx
-1 + x²
1/√√31
2/√3
2
dx
Ix√√√x² - 1
dx
x√√√x² - 1
In the following exercises, find each indefinite integral,
using appropriate substitutions, and state the domain of the
403.
-cos-¹t+C =
404.
general, that cos¯¹t = −sin¯¹t?
sec=¹t+C =
Page
- S
dt
relationship
Explain
dt
= sin ¹t+C. Is it true, in
√1-t²
Explain
dt
the
dt
-₁ lt√ √ ₂² – 1
1
It√√√₂² - 1
general, that sec t = −csc-¹t?
the
of 7
111
relationship
= −csc¯¹t+C. Is it true, in
405. Explain what is wrong with the following integral:
2
406. Explain what is wrong with the following integral:
1
Sf
In the following exercises, solve for the antiderivative
of f with C = 0, then use a calculator to graph f and
the antiderivative over the given interval [a, b]. Identify a
value of C such that adding C to the antiderivative recovers
the definite integral F(x) = f(
f(t)dt.
ZOOM
+
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