Suppose f is continuous on a closed interval [a, b]. If F(æ) is an antiderivative of f(x), for real numb a, b, and k, then the definite integral / [S(x) + k]dx is equal to _. (A) F(b) - F(a) + k(b - a) (B) F(b + k) - F(a + k) + k C) F(b) - F(a) + b - a D kF(b) - kF(a) + k

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
icon
Related questions
Question
Suppose f is continuous on a closed interval [a, b]. If F(æ) is an antiderivative of f(x), for real numbers
...
a, b, and k, then the definite integral / [S(x) + k]dx is equal to _.
(A) F(b) - F(a) + k(b - a)
(B) F(b + k) - F(a + k) + k
C) F(b) - F(a) + b - a
(D kF(b) - kF(a) + k
Transcribed Image Text:Suppose f is continuous on a closed interval [a, b]. If F(æ) is an antiderivative of f(x), for real numbers ... a, b, and k, then the definite integral / [S(x) + k]dx is equal to _. (A) F(b) - F(a) + k(b - a) (B) F(b + k) - F(a + k) + k C) F(b) - F(a) + b - a (D kF(b) - kF(a) + k
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning