# Tag Info

Calculus, more properly called analysis (or real analysis or, in older literature, infinitesimal analysis), is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects. Calculus is sometimes divided into differential and integral calculus, which are concerned with derivatives $$\frac{d}{dx}f(x) = \lim_{\Delta x \to 0} \frac{\Delta y}{\Delta x}$$
and integrals $$\int_a^b f(x) dx = \lim_{\Delta x \to 0} \sum_{k=0}^n f(x_i)\Delta x_i$$