Chat with AIExam 5: The Integral
Exam 1: Precalculus Review74 Questions
Exam 2: Limits97 Questions
Exam 3: Differentiation81 Questions
Exam 4: Applications of the Derivative77 Questions
Exam 5: The Integral82 Questions
Exam 6: Applications of the Integral80 Questions
Exam 7: Exponential Functions106 Questions
Exam 8: Techniques of Integration101 Questions
Exam 9: Further Applications of the Integral and Taylor Polynomials100 Questions
Exam 10: Introduction to Differential Equations73 Questions
Exam 11: Infinite Series95 Questions
Exam 12: Parametric Equations, Polar Coordinates, and Conic Sections71 Questions
Exam 13: Vector Geometry96 Questions
Exam 14: Calculus of Vector-Valued Functions99 Questions
Exam 15: Differentiation in Several Variables95 Questions
Exam 16: Multiple Integration98 Questions
Exam 17: Line and Surface Integrals92 Questions
Exam 18: Fundamental Theorems of Vector Analysis91 Questions
Select questions type
A population is increasing at a rate of 
individuals per year.
Use the Fundamental Theorem of Calculus Part II to verify that 
, then find the population after 9 years given that at 
the population was 16 individuals. Give your answer to one decimal place.
individuals per year.
Use the Fundamental Theorem of Calculus Part II to verify that , then find the population after 9 years given that at the population was 16 individuals. Give your answer to one decimal place. (Short Answer)
4.8/5 
(45)
(45) Evaluate the following integrals using the indicated substitution:
A) 
B) 
C) 
B)
C) (Essay)
4.8/5 (39)
(39) 
B) 
C) 
The velocity of a turtle is recorded at 1 second intervals (in m/sec). Use the right-endpoint approximation to estimate the total distance the turtle traveled during the 5 seconds recorded. 
0
1
2
3
4
5 
.078
0.83
0.75
0.98
0.853
0.425
0
1
2
3
4
5 .078
0.83
0.75
0.98
0.853
0.425 (Short Answer)
4.9/5 (32)
(32) The graph of 
on 
is shown in the following figure: 
A) Explain why 
without evaluating the integral.
B) Find 
if 
.
C) Consider 
. What is the value of 
?
on is shown in the following figure:
A) Explain why without evaluating the integral.
B) Find if .
C) Consider . What is the value of ? (Essay)
4.9/5 (37)
(37) Let 
. Calculate 
, 
, and 
for the interval 
. Give your answer to four decimal places.
. Calculate , , and for the interval . Give your answer to four decimal places. (Essay)
4.9/5 (42)
(42) Evaluate the following integrals using the Fundamental Theorem of Calculus, Part I:
A) 
B) 
C) 
B)
C) (Essay)
4.8/5 (43)
(43) Match the function with the derivative: 
The correct matches are
The correct matches are (Multiple Choice)
4.9/5 (32)
(32) 
.Two particles start moving from the origin at 
, with velocities 
and 
, respectively.
A) What is the distance between the particles at time 
?
B) Will the particles meet again?
, with velocities and , respectively.
A) What is the distance between the particles at time ?
B) Will the particles meet again? (Essay)
4.8/5 (44)
(44) The substitution 
and the identity 
lead to which integration formula?
and the identity lead to which integration formula? (Multiple Choice)
4.9/5 (42)
(42) Let 
for some nonnegative integer 
. Which of the following statements is correct? (Hint: 
)
for some nonnegative integer . Which of the following statements is correct? (Hint: ) (Multiple Choice)
4.9/5 (35)
(35) Which of the following equalities holds for any two constants 
and b?
and b? (Multiple Choice)
4.7/5 (36)
(36) 
.
.
, and 
. Calculate the following:
A) 
B) 
Consider the following functions. 
The following statement is correct:
The following statement is correct: (Multiple Choice)
4.7/5 (35)
(35) 
leads to which integration formula?
.
be the function: 
Sketch the graph of the area function 
on 
.
Filters
- Essay(0)
- Multiple Choice(0)
- Short Answer(0)
- True False(0)
- Matching(0)