|
|
|
|
|
|
|
|
|
|
|
|
Integral de $$$\frac{1}{y^{2} + 1}$$$
Calculadora relacionada: Calculadora de integrales definidas e impropias
Tu entrada
Halla $$$\int \frac{1}{y^{2} + 1}\, dy$$$.
Solución
La integral de $$$\frac{1}{y^{2} + 1}$$$ es $$$\int{\frac{1}{y^{2} + 1} d y} = \operatorname{atan}{\left(y \right)}$$$:
$${\color{red}{\int{\frac{1}{y^{2} + 1} d y}}} = {\color{red}{\operatorname{atan}{\left(y \right)}}}$$
Por lo tanto,
$$\int{\frac{1}{y^{2} + 1} d y} = \operatorname{atan}{\left(y \right)}$$
Añade la constante de integración:
$$\int{\frac{1}{y^{2} + 1} d y} = \operatorname{atan}{\left(y \right)}+C$$
Respuesta
$$$\int \frac{1}{y^{2} + 1}\, dy = \operatorname{atan}{\left(y \right)} + C$$$A
Please try a new game Rotatly