Tabla de integrales

Tabla de integrales

Publicadas por בן האלוהים el junio 09, 2022

Tabla de integrales

Tabla de integrales

$https://latex.codecogs.com/svg.image?\inline \int du=u+c$

$https://latex.codecogs.com/svg.image?\inline \int \frac{du}{u}=ln(u)+c$

$https://latex.codecogs.com/svg.image?\inline \int u^{n}du=\frac{u^{n+1}}{n+1}+c$

$https://latex.codecogs.com/svg.image?\inline \int a^{u}du=\frac{a^{u}}{lna}+c$

$https://latex.codecogs.com/svg.image?\inline \int e^{u}du=e^{u}+c$

$https://latex.codecogs.com/svg.image?\inline \int cos(u)du=sen(u)+c$

$https://latex.codecogs.com/svg.image?\inline \int sen(u)du=-cos(u)+c$

$https://latex.codecogs.com/svg.image?\inline \int csc^{2}(u)du=-ctg(u)+c$

$https://latex.codecogs.com/svg.image?\inline \int sec^{2}(u)du=tg(u)+c$

$https://latex.codecogs.com/svg.image?\inline \int csc(u)*ctg(u)du=-csc(u)+c$

$https://latex.codecogs.com/svg.image?\inline \int sec(u)*tg(u)du=sec(u)+c$

$https://latex.codecogs.com/svg.image?\inline \int tg(u)du=ln\left| sec(u) \right| +c$

$https://latex.codecogs.com/svg.image?\inline \int ctg(u)du=-ln\left| csc(u) \right| +c$

$https://latex.codecogs.com/svg.image?\inline \int sec(u)du=ln\left| sec(u)+tg(u) \right| +c$

$https://latex.codecogs.com/svg.image?\inline \int csc(u)du=ln\left| csc(u)-ctg(u) \right| +c$

$https://latex.codecogs.com/svg.image?\inline \int \frac{1}{\sqrt{1-u^{2}}}du=arcsen(u)+c$

$https://latex.codecogs.com/svg.image?\inline \int \frac{1}{u\sqrt{u^{2}-1}}du=arcsec(u)+c$

$https://latex.codecogs.com/svg.image?\inline \int senh(u)du=cosh(u)+c$

$https://latex.codecogs.com/svg.image?\inline \int cosh(u)du=senh(u)+c$

$https://latex.codecogs.com/svg.image?\inline \int sech^{2}(u)du=tgh(u)+c$

$https://latex.codecogs.com/svg.image?\inline \int csch^{2}(u)du=-ctgh(u)+c$

$https://latex.codecogs.com/svg.image?\inline \int sech(u)*tgh(u)du=-sech(u)+c$

$https://latex.codecogs.com/svg.image?\inline \int csch(u)*ctgh(u)du=-csch(u)+c$

$https://latex.codecogs.com/svg.image?\inline \int tgh(u)du=-ln\left|cosh(u) \right|+c$

$https://latex.codecogs.com/svg.image?\inline \int ctgh(u)du=ln\left|senh(u) \right|+c$

$https://latex.codecogs.com/svg.image?\inline \int sech(u)du=arctg(senh(u))+c$

$https://latex.codecogs.com/svg.image?\inline \int csch(u)du=-arctgh(cosh(u))+c$

$https://latex.codecogs.com/svg.image?\inline \int \frac{1}{1-u^{2}}du=arctgh(u)+c=\frac{1}{2}ln\left ( \frac{1+u}{1-u} \right )+c$

$https://latex.codecogs.com/svg.image?\inline \int \frac{1}{\sqrt{u^{2}-1}}du=arccosh(u)+c=ln\left ( u+\sqrt{u^{2}-1} \right )+c$

$https://latex.codecogs.com/svg.image?\inline \int \frac{1}{\sqrt{u^{2}+1}}du=arcsenh(u)+c=ln\left ( u+\sqrt{u^{2}+1} \right )+c$

$https://latex.codecogs.com/svg.image?\inline \int \frac{1}{u\sqrt{1-u^{2}}}du=-arcsech(u)+c=-ln\left ( \frac{1+\sqrt{1-u^{2}}}{u} \right )+c$

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