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Integral dari $$$25 \sin{\left(x \right)}$$$
Kalkulator terkait: Kalkulator Integral Tentu dan Tak Wajar
Masukan Anda
Temukan $$$\int 25 \sin{\left(x \right)}\, dx$$$.
Solusi
Terapkan aturan pengali konstanta $$$\int c f{\left(x \right)}\, dx = c \int f{\left(x \right)}\, dx$$$ dengan $$$c=25$$$ dan $$$f{\left(x \right)} = \sin{\left(x \right)}$$$:
$${\color{red}{\int{25 \sin{\left(x \right)} d x}}} = {\color{red}{\left(25 \int{\sin{\left(x \right)} d x}\right)}}$$
Integral dari sinus adalah $$$\int{\sin{\left(x \right)} d x} = - \cos{\left(x \right)}$$$:
$$25 {\color{red}{\int{\sin{\left(x \right)} d x}}} = 25 {\color{red}{\left(- \cos{\left(x \right)}\right)}}$$
Oleh karena itu,
$$\int{25 \sin{\left(x \right)} d x} = - 25 \cos{\left(x \right)}$$
Tambahkan konstanta integrasi:
$$\int{25 \sin{\left(x \right)} d x} = - 25 \cos{\left(x \right)}+C$$
Jawaban
$$$\int 25 \sin{\left(x \right)}\, dx = - 25 \cos{\left(x \right)} + C$$$A