Ichikquriq

Katsun hukllata wataq f(x) sharishqa wichqashqa patma kaypuchaw I = [a, b] . Kutsushun I-ta $x_i==a+\frac{b-a}{n}i=0,1,...,n$ aqukunawan n kaypu pakiman, kayanqa patsallan sutayniyuq. Llapan kaypu pakichaw $[x_{i-1},x_i]i=1,...,n,$, akrakan llutay llutaa huk aquta ${\xi }_i$ , kaynawta ${\xi }_i\in [x_{i-1},x_i]$.

Tsaypitaqa kay yapaskishqata $f({\xi }_1)\mathrm{\Delta }{x}_1+...+f({\xi }_n)\mathrm{\Delta }{x}_n=\sum _{i=1}^{n}f({\xi }_i)\mathrm{\Delta }{x}_i$ tsaychaw $\mathrm{\Delta }{x}_i=x_i-x_{i-1}$, shutitsantsik f hukllata wataqpa yapaskishqa huñuqnin .

Kay harkana : $\underset{n\to \mathrm{\infty }}{\lim }\sum _{i=1}^{n}f({\xi }_i)\mathrm{\Delta }{x}_i$ kaptin, mana aqu akray ashipaptin ${\xi }_i$, kay hukllata wataqta nintsik [a; b] wichqashqa patma kaypuchaw huñupalla. Harkanata nintsik hukllata wataqpa ichikquriqnin [a; b] wichqashqa patma kaypuchaw. Qillqarintsik kaynaw Plantilla:Ecuación.