变限积分函数的性质主要由被积分函数的性质、积分上(下)限的结构来决定。
The variation range integral function nature mainly by the structure which by in the integral function nature, the integral (next) is limited decided.
通常，你只会在这两种情况下用替代法，或者这可以极大地简化被积函数，或者就是这可以简化，积分的上下限。
I mean, normally, you would only do this kind of substitution if either it simplifies a lot the function you are integrating, or it simplifies a lot the region on which you are integrating.
采用将圆电流磁矢势表达式中一部分展成级数，使被积函数变成可积分的函数。
A part of results on magnetic vector potential of circular loop are expanded, so the integral function is transformed to integrable series.
这些结果能被用来研究共轭调和函数的可积性并且估计它们的积分。
These results can be used to study the integrability of conjugate harmonic functions and estimate the integrals for them.
矢量的面积分方程因其被积函数具有高阶奇异性，不能直接应用于数值计算。
The vector surface integral equation can't be applied to numerical computation directly because its integrands possess the high order singularity.
根据积分路径和被积函数的特点，讨论了相应的计算复积分的方法。
It is based on the properties about the path of integration and the integrand function.
文章针对被积函数是连续函数、可导函数的定积分不等式提出了几种有效的证明方法。
This article analyses how to prove the stable integral inequality effectively while knowing the function is continuous and derivative.
在一定条件下，对振荡积分值做贡献的主要来自被积函数在临界点附近的小区间的积分值。
Under some conditions, the major contribution to the value of oscillatory integral comes from neighborhoods of those critical points of the integrand.
积分式中的被积函数包含一噪声强度垂直指向性因子，海洋介质分层条件通过该指向性因子影响噪声场的空间相干。
The integrand includes a multiplying factor of the vertical directivity of the noise intensity, and the layered ocean environment affects the spatial coherences via this directivity factor.
积分区域和被积函数结构是函数积分的两个关键点。
The integral range and the integrand structure are the two key points of the function integral.
摘要无穷限反常积分收敛时，其被积函数在无穷远处的极限不一定为零。
The limit of the integrand f ( x ) of abnormal integral, which is convergent in the infinite range of integration, is not certainly equal zero at infinity.
确定卷积积分的积分限和在相应区间上的被积函数是计算卷积积分的两个难点。
There are two difficult points in convolution integral: how to determine the limit of the integral, and the integrands on the convolution integral.
定积分的计算是高等数学的重要内容之一，但在积分计算时可以结合积分区域的对称性和被积函数的奇偶性来简化计算。
Optimal calculation of definite integral can be obtained by combination of the odevity of function and the symmetry of integral domain.
边界积分方程首先被转化为相应的变分形式，然后用移动最小二乘近似的形函数构造解空间。
The BIE is firstly converted into a variational formulation, and then the MLS shape functions are used to generate the approximate space.
文章针对被积函数是连续函数、可导函数的定积分不等式提出了几种有效的证明方法。
This article was to offer the method about the complex function's differentiable and holomorphic.
从不定积分的线性运算性质出发，给出了计算不定积分的被积函数线性组合化、降幂的积分原则，并结合实例分析了这一原则在不定积分计算中的指导作用。
Based on the quality of linear operation about indefinite integral, the article puts forward an indefinite integral principle of making linear combination and reducing power of integrand.
灵活应用“凑微分”与“分部积分”法解被积函数为三个因子连乘形式的不定积分。
Flexible apply "gather together differential" and "divide part integral" method to solve the indefinite integral whose integrable function is the three factor multiple formative.
通过在积分换元、微分方程求解、多（一）元复合函数求全微分、偏导数及高阶偏导数中的应用举例，论述了一阶微分的形式不变性在微积分学中的作用不应被忽略。
Based on the theory of differential geometry and geodesy, the second order differential equation and the first differential relationship are derived on the regional earth ellipsoid in this paper.
通过在积分换元、微分方程求解、多（一）元复合函数求全微分、偏导数及高阶偏导数中的应用举例，论述了一阶微分的形式不变性在微积分学中的作用不应被忽略。
Based on the theory of differential geometry and geodesy, the second order differential equation and the first differential relationship are derived on the regional earth ellipsoid in this paper.
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