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notweNcaasI
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Homework Statement
Find a function F such that F(2) = 0 and F'(x) = sin(e^x)
I think that this a reverse to Part 2 of the Fundamental Theorem of Calc but not really sure.
Homework Equations
From the Theorem:
A(x) = [tex]\int f(t) dt[/tex]
A'(x) = f(x)
f(t) = sin(e^x) ??
∫
The Attempt at a Solution
I attempt to integrate sin(e^x) but that seems like a lost cause.
According to FTC II, the area function with lower limit a=2 is an antiderivative satisfying
F(2) = 0
F(x) = [tex]\int^{x}_{2} sin(e^t)dt[/tex]
Is this the correct function