Integral dari $$$b^{x}$$$ terhadap $$$x$$$
Kalkulator terkait: Kalkulator Integral Tentu dan Tak Wajar
Masukan Anda
Temukan $$$\int b^{x}\, dx$$$.
Solusi
Apply the exponential rule $$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}$$$ with $$$a=b$$$:
$${\color{red}{\int{b^{x} d x}}} = {\color{red}{\frac{b^{x}}{\ln{\left(b \right)}}}}$$
Oleh karena itu,
$$\int{b^{x} d x} = \frac{b^{x}}{\ln{\left(b \right)}}$$
Tambahkan konstanta integrasi:
$$\int{b^{x} d x} = \frac{b^{x}}{\ln{\left(b \right)}}+C$$
Jawaban
$$$\int b^{x}\, dx = \frac{b^{x}}{\ln\left(b\right)} + C$$$A
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