$$$x^{33}$$$ 的積分
您的輸入
求$$$\int x^{33}\, dx$$$。
解答
套用冪次法則 $$$\int x^{n}\, dx = \frac{x^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$,以 $$$n=33$$$:
$${\color{red}{\int{x^{33} d x}}}={\color{red}{\frac{x^{1 + 33}}{1 + 33}}}={\color{red}{\left(\frac{x^{34}}{34}\right)}}$$
因此,
$$\int{x^{33} d x} = \frac{x^{34}}{34}$$
加上積分常數:
$$\int{x^{33} d x} = \frac{x^{34}}{34}+C$$
答案
$$$\int x^{33}\, dx = \frac{x^{34}}{34} + C$$$A
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