积分曲线 meaning in English

integral curves
integrated curve
mass diagram
solution curve

The graph of the antiderivative of the function is called the integral curve of
函数的原函数的图形称为的积分曲线。
The stability of cauchy singular integral when the integral curve has a smooth perturbation is discussed in our first partition ; we apply some results of the first partition to the second partition and solve the stability of the solution to the cauchy singular integral equation . finally , on the basis of the stability of the cauchy type integral , we study the stability of the solution to the riemann boundary value problem when the contour perturbs smoothly
在第一部分中，我们主要讨论了cauchy奇异积分在积分曲线发生光滑扰动时的稳定性问题；而在第二部分中，我们把第一部分的结果应用到cauchy奇异积分方程，导出了其关于积分曲线摄动的稳定性的研究及其一些结果；最后，在第三部分中，我们在研究cauchy型积分关于积分曲线的稳定性问题的基础上，探讨了riemann边值问题的稳定性问题。