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Integral dari $$$\frac{e^{t}}{100}$$$
Kalkulator terkait: Kalkulator Integral Tentu dan Tak Wajar
Masukan Anda
Temukan $$$\int \frac{e^{t}}{100}\, dt$$$.
Solusi
Terapkan aturan pengali konstanta $$$\int c f{\left(t \right)}\, dt = c \int f{\left(t \right)}\, dt$$$ dengan $$$c=\frac{1}{100}$$$ dan $$$f{\left(t \right)} = e^{t}$$$:
$${\color{red}{\int{\frac{e^{t}}{100} d t}}} = {\color{red}{\left(\frac{\int{e^{t} d t}}{100}\right)}}$$
Integral dari fungsi eksponensial adalah $$$\int{e^{t} d t} = e^{t}$$$:
$$\frac{{\color{red}{\int{e^{t} d t}}}}{100} = \frac{{\color{red}{e^{t}}}}{100}$$
Oleh karena itu,
$$\int{\frac{e^{t}}{100} d t} = \frac{e^{t}}{100}$$
Tambahkan konstanta integrasi:
$$\int{\frac{e^{t}}{100} d t} = \frac{e^{t}}{100}+C$$
Jawaban
$$$\int \frac{e^{t}}{100}\, dt = \frac{e^{t}}{100} + C$$$A