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

Temukan $$$\int \frac{\sin{\left(r \right)}}{r}\, dr$$$.

Integral ini (Integral Sinus) tidak memiliki bentuk tertutup:

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

Oleh karena itu,

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

Tambahkan konstanta integrasi:

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

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