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Integral de $$$\frac{\sin{\left(x \right)}}{x}$$$
Calculadora relacionada: Calculadora de integrales definidas e impropias
Tu aportación
Encuentra $$$\int \frac{\sin{\left(x \right)}}{x}\, dx$$$.
Solución
This integral (Sine Integral) does not have a closed form:
$${\color{red}{\int{\frac{\sin{\left(x \right)}}{x} d x}}} = {\color{red}{\operatorname{Si}{\left(x \right)}}}$$
Therefore,
$$\int{\frac{\sin{\left(x \right)}}{x} d x} = \operatorname{Si}{\left(x \right)}$$
Add the constant of integration:
$$\int{\frac{\sin{\left(x \right)}}{x} d x} = \operatorname{Si}{\left(x \right)}+C$$
Answer: $$$\int{\frac{\sin{\left(x \right)}}{x} d x}=\operatorname{Si}{\left(x \right)}+C$$$