Integral dari $$$\frac{\sin{\left(x \right)}}{x}$$$

Temukan $$$\int \frac{\sin{\left(x \right)}}{x}\, dx$$$.

Integral ini (Integral Sinus) tidak memiliki bentuk tertutup:

$${\color{red}{\int{\frac{\sin{\left(x \right)}}{x} d x}}} = {\color{red}{\operatorname{Si}{\left(x \right)}}}$$

Oleh karena itu,

$$\int{\frac{\sin{\left(x \right)}}{x} d x} = \operatorname{Si}{\left(x \right)}$$

Tambahkan konstanta integrasi:

$$\int{\frac{\sin{\left(x \right)}}{x} d x} = \operatorname{Si}{\left(x \right)}+C$$

$$$\int \frac{\sin{\left(x \right)}}{x}\, dx = \operatorname{Si}{\left(x \right)} + C$$$A