$$$2 x^{2}$$$ 對 $$$t$$$ 的積分
您的輸入
求$$$\int 2 x^{2}\, dt$$$。
解答
配合 $$$c=2 x^{2}$$$,應用常數法則 $$$\int c\, dt = c t$$$:
$${\color{red}{\int{2 x^{2} d t}}} = {\color{red}{\left(2 t x^{2}\right)}}$$
因此,
$$\int{2 x^{2} d t} = 2 t x^{2}$$
加上積分常數:
$$\int{2 x^{2} d t} = 2 t x^{2}+C$$
答案
$$$\int 2 x^{2}\, dt = 2 t x^{2} + C$$$A
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