table of integral

简明释义

积分表

英英释义

例句

1.The professor handed out a table of integral during the lecture to help us with our homework.

教授在讲座中发放了一份积分表，以帮助我们完成作业。

2.When studying for the exam, I frequently referred to the table of integral to solve various problems.

在备考时，我经常查阅积分表来解决各种问题。

3.I printed a table of integral and kept it in my notebook for quick reference while studying.

我打印了一份积分表，并把它放在笔记本里，以便在学习时快速参考。

4.For advanced mathematics, a detailed table of integral is essential for understanding integral calculus.

对于高级数学，详细的积分表对于理解积分微积分至关重要。

5.In calculus, a common resource is the table of integral which provides quick solutions to complex integrals.

在微积分中，一个常见的资源是积分表，它提供了复杂积分的快速解法。

作文

In the study of mathematics, particularly in calculus, one often encounters various tools and references that aid in solving problems. Among these tools, the table of integral is an essential resource for students and professionals alike. A table of integral (积分表) provides a comprehensive list of integrals and their corresponding results, allowing users to quickly find the integral of a function without having to derive it from first principles every time.The significance of a table of integral cannot be overstated. For students learning calculus, it serves as a practical guide that helps them understand how to approach integration problems. Instead of getting bogged down by complex calculations, they can refer to the table of integral (积分表) to find the solution more efficiently. This not only saves time but also builds confidence in their mathematical abilities.Moreover, the use of a table of integral extends beyond mere convenience; it also reinforces learning. By seeing the patterns and relationships among different integrals listed in the table of integral (积分表), students can develop a deeper understanding of integration techniques. They begin to recognize common forms and can apply similar strategies to solve unfamiliar problems. This process of recognition and application is crucial in mastering calculus.For professionals, a table of integral is a vital reference tool in fields such as engineering, physics, and economics, where integration plays a key role in modeling and solving real-world problems. Engineers might use a table of integral (积分表) to analyze forces acting on structures, while physicists could apply it to calculate areas under curves representing physical phenomena. In economics, integrals are used to determine consumer and producer surplus, making the table of integral an indispensable asset for economists as well.Additionally, the table of integral is not just a static document; it evolves with advancements in mathematical theories and techniques. New integrals are discovered, and existing ones are refined, making it crucial for users to stay updated with the latest versions of these tables. Online resources and software have made accessing a table of integral (积分表) easier than ever, allowing for quick searches and interactive learning experiences.In conclusion, the table of integral (积分表) is a powerful tool in the realm of mathematics that aids both students and professionals in their work. By providing quick access to a vast array of integrals, it enhances efficiency, promotes understanding, and facilitates the application of calculus in various fields. Whether one is a novice or an expert, the table of integral remains a fundamental resource that underscores the importance of integration in mathematics and its applications in the real world.

在数学学习中，特别是在微积分方面，人们常常会遇到各种工具和参考资料，这些工具和参考资料有助于解决问题。在这些工具中，积分表是学生和专业人士都必不可少的资源。积分表（table of integral）提供了一个全面的积分及其相应结果的列表，使用户能够快速找到一个函数的积分，而不必每次都从基本原理推导。积分表的重要性不容小觑。对于学习微积分的学生来说，它作为一本实用指南，帮助他们理解如何处理积分问题。学生们可以参考积分表（table of integral），更有效地找到解决方案，而不是陷入复杂的计算中。这不仅节省了时间，还增强了他们的数学能力。此外，使用积分表不仅仅是为了便利；它还强化了学习。通过查看积分表（table of integral）中列出的不同积分之间的模式和关系，学生们可以更深入地理解积分技术。他们开始识别常见形式，并能够将类似的策略应用于解决不熟悉的问题。这种识别和应用的过程对于掌握微积分至关重要。对于专业人士来说，积分表是工程、物理和经济等领域的重要参考工具，这些领域中积分在建模和解决现实问题中起着关键作用。工程师可能会使用积分表（table of integral）来分析作用于结构上的力，而物理学家可能会应用它来计算表示物理现象的曲线下的面积。在经济学中，积分用于确定消费者和生产者剩余，使得积分表成为经济学家的不可或缺的资产。此外，积分表不仅仅是一个静态文档；它随着数学理论和技术的进步而不断演变。新的积分被发现，现有的积分被修正，因此用户必须保持对这些表格最新版本的关注。在线资源和软件使得访问积分表（table of integral）变得比以往任何时候都容易，允许快速搜索和互动学习体验。总之，积分表（table of integral）是数学领域中的一个强大工具，帮助学生和专业人士进行工作。通过提供快速访问大量积分的途径，它提高了效率，促进了理解，并便利了微积分在各个领域的应用。无论是初学者还是专家，积分表始终是一个基础资源，突显了积分在数学及其在现实世界应用中的重要性。