$$$\sec^{2}{\left(u \right)}$$$ 的积分
您的输入
求$$$\int \sec^{2}{\left(u \right)}\, du$$$。
解答
$$$\sec^{2}{\left(u \right)}$$$ 的积分为 $$$\int{\sec^{2}{\left(u \right)} d u} = \tan{\left(u \right)}$$$:
$${\color{red}{\int{\sec^{2}{\left(u \right)} d u}}} = {\color{red}{\tan{\left(u \right)}}}$$
因此,
$$\int{\sec^{2}{\left(u \right)} d u} = \tan{\left(u \right)}$$
加上积分常数:
$$\int{\sec^{2}{\left(u \right)} d u} = \tan{\left(u \right)}+C$$
答案
$$$\int \sec^{2}{\left(u \right)}\, du = \tan{\left(u \right)} + C$$$A
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