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hi all, given g(x) = f(sin(x)) and g'(x) = -3 cos^2 (x)sin(x)
find f
any help greatly appreciated
find f
any help greatly appreciated
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#3
Integrating
, we find that
, where
is a constant.
We know that
, where the sign depends on the sign of
.
Therefore
, and consequently
(just be careful when determining which sign belong to which values of
).



We know that


Therefore



Last edited by max271; 1 year ago
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Thank you
(Original post by max271)
Integrating
, we find that
, where
is a constant.
We know that
, where the sign depends on the sign of
.
Therefore
, and consequently
(just be careful when determining which sign belong to which values of
).
Integrating



We know that


Therefore



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reply
Report
#5
The sticky at the top of the forum says to give hintd, not solutions.
(Original post by max271)
Integrating
, we find that
, where
is a constant.
We know that
, where the sign depends on the sign of
.
Therefore
, and consequently
(just be careful when determining which sign belong to which values of
).
Integrating



We know that


Therefore



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reply
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