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)

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Fund. Theorem Calc. Part I

**Physics Forums | Science Articles, Homework Help, Discussion**