¿Cuáles son las propiedades de la integral definida?

• Suma/Diferencia: ${\displaystyle {\int }_a^b[f(x)\pm g(x)]dx={\displaystyle {\int }_a^{b}f(x)dx\pm {\displaystyle {\int }_a^{b}g(x)dx}}}$

• ${\displaystyle {\displaystyle {\displaystyle }}}$${\displaystyle {\displaystyle {\displaystyle }}}$

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• ${\displaystyle {\displaystyle {\displaystyle }}}$${\displaystyle {\displaystyle {\displaystyle \mathrm{<span\; style="white-space:\; nowrap;"><span><span\; aria-describedby="katex-2"\; aria-hidden="true"\; style="white-space:\; nowrap;"><span\; class="katex"></span></span></span></span>}}}}$

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• ${\displaystyle {\displaystyle {\displaystyle }}}$Intervalo de longitud cero: $\displaystyle\int_a^a f(x)dx=0$

• $$Suma de intervalos: ${\displaystyle {\int }_a^{b}f(x)dx+{\displaystyle {\int }_b^{c}f(x)dx={\displaystyle {\int }_a^{c}f(x)dx}}}$

$\displaystyle\int_a^b f(x)dx+\displaystyle\int_b^c f(x)dx=\displaystyle\int_a^c f(x)$${\displaystyle {\displaystyle {\displaystyle }}}$${\displaystyle {\displaystyle {\displaystyle }}}$${\displaystyle {\displaystyle {\displaystyle }}}$$\displaystyle\int_a^b[f(x)\pm g(x)]dx=\displaystyle\int_a^bf(x)dx\pm\displaystyle\int_a^b g(x)dx$