[大一年级数学分析双语.ppt

定积分 definite integrals 曲边梯形 curvilinear trapezoid 分割 dividing; partition 近似求和 summing approximately 取极限 taking the limit Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 黎曼和 Riemann sums 黎曼积分 Riemann integrals 黎曼可积 integrable in the sense of Riemann 积分区间 interval of integration 上限 upper limit 下限 lower limit Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 可积的必要条件 a necessary condition for the integrability 可积的充要条件 necessary and sufficient conditions for the integrability 达布小和 Darboux lower sum 达布大和 Darboux upper sum 可积函数类 class of integrable functions Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 定积分的线性性质 linearity of the definite integral 关于积分区间的可加性 additive with respect to integral intervals (additivity over integrals) 积分不等式性 monotonicity of the integral(comparison property) 积分中值定理 mean value theorems of integrals 积分第一中值定理 first mean value theorem of integrals 积分第一中值定理的推广 generalized first mean value theorem of integrals Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 变限积分 integral with variant upper limit 原函数的存在性 the existence of the primitive 原函数的存在定理 existence theorem of the primitive 定积分换元积分法 the substitution method for definite integrals 定积分分部积