那么，接下来我们来求积分的上下限吧。
维伦纽夫不为完赛，不求积分，他只为胜利而来。
Villeneuve did not race to finish, he did not race for points. He raced to win.
具体求解方法可归结为求导数、求解微分方程或求积分。
The concrete solving process can be reduced to finding derivative, differential equation or integral.
该文给出了一些数值求积公式的渐近性质，这些公式包括求积分的矩形法则、梯形法则和抛物线法则。
This paper gives asymptotic properties of some numerical integral formulas, these formulas include rectangle rule, trapezoid rule and parabolic rule.
我对你们的要求越低，物理老师或其他科老师，就会抱怨的越厉害，他们会抱怨“这些家伙居然不知道怎么求积分
I should say, the more I tell you I don't need you to know, the more your physics and other teachers might complain that, oh, these guys don't know how to integrate.
本文对用分组法求积分因子做了一些改进；从而使一类微分方程的积分因子，主要通过积分的运算就可以得到。
An improvement was made in grouping to find the integrating factors, so that those for some differential equations will be worked out mainly by integration.
通过高斯分布函数描述形核质点密度随温度的分布关系，在给定过冷度时对分布函数求积分可得该时刻的形核密度。
Gauss distribution function was employed to describe the relation between the density of nucleation sites and the temperature and was integrated to get the grain density at a given undercooling.
本文提出了解非线性边值问题的边界积分方程的高精度机械求积法。
This paper presents mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.
本文给出一种新的奇异积分求积方法。
This paper presents a new quadrature method for singular integrals.
对于定积分近似计算中常使用的经典SIMPSON求积公式介绍一种新的简洁的证明方法并给出误差的最佳估计。
We introduced a new and simple proof of the classical SIMPSON quadrature formula which is frequently applied in calculating definite integrals and best estimation of error is obtained.
提出了求积法解稳态问题的混合边界积分方程，它拥有高精度，低复杂度。
We present a quadrature method for mixed boundary integral equations of stable problems, which provides high accuracy and less complexity.
为提高数值积分精度，测压孔位置按高斯求积节点布置。
The pressure taps are arranged as the nodes of Gauss numerical integration to improve the accuracy of integral.
本文提出了解非线性边值问题的边界积分方程的高精度机械求积法。
In this paper, the authors present mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.
边界型求积公式是数值积分法研究方向早就被注意的问题。
The construction of boundary type cubature is a problem that has been noticed for a very long time in numerical integration.
夏鸾翔是晚清较早研究微积分的中算家，据其《致曲术》、《万象一原》，可知他在二次曲线求积问题上得到了比较全面的成果，有的已超过《代微积拾级》，某些成果近似近代的椭圆积分。
This paper discusses Xia's achievements on the integral problem about quadratic curve, some of which were similar to modern elliptic integral and surpassed the level of Dai-wei-ji.
借助降维展开公式，我们对积分构造出具有代数精度的边界型求积公式。
By using the lowering dimensionality expansions, we construct boundary type cubature formulas with the algebraic precision for integrals.
偏微分方程数值方法，积分方程法，课程6：离散与求积法(PDF)。
Numerical Methods for PEDs, Integral Equation Methods, Lecture 6: Discretization and Quadrature (PDF).
偏微分方程之数值法，积分方程法，课程2：数值求积法(PDF)。
Numerical Methods for PEDs, Integral Equation Methods, Lecture 2: Numerical Quadrature (PDF).
至于解第一类积分方程机械求积法，由于 相关的聚紧理论对弱奇异第一类 积分方程失效，未得到充分研究。
On the one hand, the mechanical quadrature methods (MQM) for solving BIE of the first kind are void of the collectively compact theory, so they have not been sufficiently analyzed yet;
至于解第一类积分方程机械求积法，由于 相关的聚紧理论对弱奇异第一类 积分方程失效，未得到充分研究。
On the one hand, the mechanical quadrature methods (MQM) for solving BIE of the first kind are void of the collectively compact theory, so they have not been sufficiently analyzed yet;
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