# Thread: the second fundamental theorem of calculue can be used in every situation~?

1. ## the second fundamental theorem of calculue can be used in every situation~?

the second fundamental theorem of calculue can be used in every situation~?

Newton Leibniz`formula

I mean that ..

2. I have no idea what you mean by this! The fundamental theorem of calculus can be used in every situation to which it applies certainly, but it isn't of much using, for example, in adding 2+ 2!

And why the cryptic words "Newton Leibniz formula"?

Are you referring to
$\displaystyle \frac{d}{dx}\int_{\alpha(x)}^{\beta(x)} f(x,t) dt$$\displaystyle = f(x,\alpha(x))\frac{d\alpha}{dx}- f(x,\beta(x))\frac{d\beta}{dx}+ \int_{\alpha(x)}^{\beta(x)}\frac{\partial f}{\partial x}dt$?