calc :)

piercegirl

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If f is a quadratic function such that f (0)= 1 and integral f (x)/ ( x2(x+1)3 ) dx is a rational function, find the value of f ' (0).
 
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If f is a quadratic function such that f (0)= 1 and integral f (x)/x2(x+1)3 dx is a rational function, find the value of f ' (0).

Is it:

\(\displaystyle \dfrac{f(x)}{x^2}(x+1)^3\)

or

\(\displaystyle \dfrac{f(x)}{x^2(x+1)^3}\)
 
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