2. Suppose that F is an antiderivative of function f, if f is continuous on [a, b], then So f(x)dx= ·( ) (A) F(a)-F(b) = (B) F(b)-F(a) (C) F(x) + C (D) F(x)
2. Suppose that F is an antiderivative of function f, if f is continuous on [a, b], then So f(x)dx= ·( ) (A) F(a)-F(b) = (B) F(b)-F(a) (C) F(x) + C (D) F(x)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
Related questions
Question
Single choice questions. Answer question 2..
![Single Choice Question
1. ſ f(x)dx+ſº f(x)dx=
(A) ſº f(x)dx
(B) f(x) dx
(C) f f(x) dx
(D) fd f(x)dx
2. Suppose that F is an antiderivative of function f, if ƒ is continuous on [a, b], then
S f(x) dx =
()
(A) F(a)-F(b)
(B) F(b)-F(a)
(C) F(x) + C
(D) F(x)
3. The area between the curves y = f(x) and y = g(x) and between x = a and = b
is..
·()
(A) A = S₂ \g(x)— f(x)\dx
(B) A= ſ₂ |ƒ(x)—g(x)\dx
(D) A=f|f(x)— f(x)|dx
(C) A= ſő |ƒ(x), g(x)|dx
4. If g' is continuous on [a, b] and ƒ is continuous on the range of u = g(x), then
S₂ f(g(x))g'(x)dx=.
·()
•g(b)
(A) ff(u)du (B)
·( )
g(u)du
g(a)
g(a)
(C) f f(u)du
(D) fg(u)du
5. Suppose ƒ is continuous on [—a, a]. If ƒ is odd, then ſª f(x)dx=········( _ )
(A) 2 fő f(x)dx
(B) 0
(C) 2 f f(x)dx
(D) ff(x)dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0a0eb44-0d82-4149-bd9e-63330869cded%2F00246971-718a-4978-934e-8cb7dffc3a32%2Fkdomf9a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Single Choice Question
1. ſ f(x)dx+ſº f(x)dx=
(A) ſº f(x)dx
(B) f(x) dx
(C) f f(x) dx
(D) fd f(x)dx
2. Suppose that F is an antiderivative of function f, if ƒ is continuous on [a, b], then
S f(x) dx =
()
(A) F(a)-F(b)
(B) F(b)-F(a)
(C) F(x) + C
(D) F(x)
3. The area between the curves y = f(x) and y = g(x) and between x = a and = b
is..
·()
(A) A = S₂ \g(x)— f(x)\dx
(B) A= ſ₂ |ƒ(x)—g(x)\dx
(D) A=f|f(x)— f(x)|dx
(C) A= ſő |ƒ(x), g(x)|dx
4. If g' is continuous on [a, b] and ƒ is continuous on the range of u = g(x), then
S₂ f(g(x))g'(x)dx=.
·()
•g(b)
(A) ff(u)du (B)
·( )
g(u)du
g(a)
g(a)
(C) f f(u)du
(D) fg(u)du
5. Suppose ƒ is continuous on [—a, a]. If ƒ is odd, then ſª f(x)dx=········( _ )
(A) 2 fő f(x)dx
(B) 0
(C) 2 f f(x)dx
(D) ff(x)dx
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