Integral dari $$$\left(y - \sin{\left(y \right)}\right) \cos{\left(y \right)}$$$ terhadap $$$x$$$
Kalkulator terkait: Kalkulator Integral Tentu dan Tak Wajar
Masukan Anda
Temukan $$$\int \left(y - \sin{\left(y \right)}\right) \cos{\left(y \right)}\, dx$$$.
Solusi
Terapkan aturan konstanta $$$\int c\, dx = c x$$$ dengan $$$c=\left(y - \sin{\left(y \right)}\right) \cos{\left(y \right)}$$$:
$${\color{red}{\int{\left(y - \sin{\left(y \right)}\right) \cos{\left(y \right)} d x}}} = {\color{red}{x \left(y - \sin{\left(y \right)}\right) \cos{\left(y \right)}}}$$
Oleh karena itu,
$$\int{\left(y - \sin{\left(y \right)}\right) \cos{\left(y \right)} d x} = x \left(y - \sin{\left(y \right)}\right) \cos{\left(y \right)}$$
Tambahkan konstanta integrasi:
$$\int{\left(y - \sin{\left(y \right)}\right) \cos{\left(y \right)} d x} = x \left(y - \sin{\left(y \right)}\right) \cos{\left(y \right)}+C$$
Jawaban
$$$\int \left(y - \sin{\left(y \right)}\right) \cos{\left(y \right)}\, dx = x \left(y - \sin{\left(y \right)}\right) \cos{\left(y \right)} + C$$$A