Suppse the following function was written:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

f(x)=\int_{0}^{x} \frac{t-1}{t^4+1} dt

[/tex]

Then we could assume there is a solution:

f(x) = F(x) - F(0)

Take the derivative:

f'(x) = F'(x) - F'(0) = F'(x)

[tex]

f'(x)=\frac{x-1}{x^4+1}

[/tex]

Then we could determine if the function is increasing or decreasing over an interval. Without taking the antiderivative how could we determine what the following values are:

f(0)

f(1)

f(-1)

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# Fund. Theorem Calc. Part I

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