$$$\cos{\left(x^{5} \right)}$$$ 关于$$$z$$$的积分
您的输入
求$$$\int \cos{\left(x^{5} \right)}\, dz$$$。
解答
应用常数法则 $$$\int c\, dz = c z$$$,使用 $$$c=\cos{\left(x^{5} \right)}$$$:
$${\color{red}{\int{\cos{\left(x^{5} \right)} d z}}} = {\color{red}{z \cos{\left(x^{5} \right)}}}$$
因此,
$$\int{\cos{\left(x^{5} \right)} d z} = z \cos{\left(x^{5} \right)}$$
加上积分常数:
$$\int{\cos{\left(x^{5} \right)} d z} = z \cos{\left(x^{5} \right)}+C$$
答案
$$$\int \cos{\left(x^{5} \right)}\, dz = z \cos{\left(x^{5} \right)} + C$$$A