Sequences
1. Sequences and limits.
Limits of functions
1\) $f(x)={^{-{{x}^{2}}}}$
Continuity and derivatives
Continuity of functions
Antiderivatives
(indefinite integrals)
Table of integrals
| $\displaystyle \int{{^{n}}dx=\frac{{{x}^{n+1}}}{a+1}+c}$ | $\displaystyle \int{{{u}^{/}}{{u}^{a}}dx=\frac{{{u}^{a+1}}}{a+1}+c}$ |
Definite integrals
Let $FI\to \mathbb$. The definite
Applications of the definite integral
1. The area under a graph ${{\Gamma }}$**,** $f:[a,b]\to {{\mathbb{R}}{+}}, f\text{ continu }\!\!\breve{\mathrm{a}}\!\!$
Differential equations
The following notations for derivatives are used: and $''\to \frac{{{d}^{2}}y}{d{{x}^{2}}}$, that is