The Substitution Method states that A. If F'(x) = f(x), then [ ƒ (u(x))u²(x) dx = F(u(x)) + C B. If u = g(x) is a differentiable function whose range is an interval I, and f is continuous on I, then [ f(g(x))g'(x) dx = [ f(u) du. C. Both A and B D. None of the above
The Substitution Method states that A. If F'(x) = f(x), then [ ƒ (u(x))u²(x) dx = F(u(x)) + C B. If u = g(x) is a differentiable function whose range is an interval I, and f is continuous on I, then [ f(g(x))g'(x) dx = [ f(u) du. C. Both A and B D. None of the above
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Transcribed Image Text:The Substitution Method states that
A. If F'(x) = f(x), then
[ ƒ (u(x))u²(x) dx = F(u(x)) + C
B. If u = g(x) is a differentiable function whose range is an interval I, and f is continuous
on I, then
[ f(g(x))g'(x) dx = [ f(u) du.
C. Both A and B
D. None of the above
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