Let f(x) be a function that is defined and has a continuous derivative on the interval (2, ∞). Assume also that f(3) = -14 f(x) < x² + 10 and Determine the value of [ f(x)e-²/7 dx = 4 [ f'(x) e- -1/7 dr.

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...
Question
Let f(x) be a function that is defined and has a continuous derivative on the interval (2, ∞). Assume also that
f(3) = -14
f(x) < x² + 10
and
Determine the value of
[ f(x)e-²/7 dx = 4
[ f'(x) e-
-1/7
dr.
Transcribed Image Text:Let f(x) be a function that is defined and has a continuous derivative on the interval (2, ∞). Assume also that f(3) = -14 f(x) < x² + 10 and Determine the value of [ f(x)e-²/7 dx = 4 [ f'(x) e- -1/7 dr.
Find the value of the constant C for which the integral
converges. Evaluate the integral for this value of C.
C =
Value of convergent integral =
C
Lo (11-1) de
+1
+1
Transcribed Image Text:Find the value of the constant C for which the integral converges. Evaluate the integral for this value of C. C = Value of convergent integral = C Lo (11-1) de +1 +1
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