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Integral of homogeneous degree-1 differential over complex affine line.

An affine complex line is a complex vector space $V$ isomorphic to $\mathbb{C}^n$ for some $n$. Let $f$ be a degree $1$ homogeneous differential, i.e. $f \in \mathcal{D}^1(\mathbb{C}^n)$.
Define the integral of $f$ to be
$$\int_\gamma f = f(\gamma(0))\gamma'(0),$$
where $\gamma$ is a parametrization of the line.
My question is, is this integral independent of the parametrization of the line?
I know that if $\gamma$ is non-affine, then it depends on the parametrization. If $f$ is not degree-1 homogeneous, then this is not true.
Since the integral is just a translation of the differential, I suspect it may not depend on the parametrization, but I have not been able to find a proof.

A:

Assuming you want a holomorphic function on $\mathbb{C}\mathbb{P}^1$, the value of $f(0,\infty)$ has no influence (since it doesn’t affect the level sets of $f$).

package me.zhyd.springbootplus.common;

import me.zhyd.springbootplus.model.Page;

import java.util.List;

/**
* 常规页面常用静态操作
*
* @author zhangHyd(zhanglei@163.com)
* @date 2018/12/14
*/
public interface IStaticPage {

/**
* 查询当前页
*
* @return 页面数据
*/
List