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It's good to master the formula to be tested in the exam, and you basically won't need it when you come out in the future! The integral is the original function. Derivative and integral are mutually inverse processes, can this be understood?
If you ask for guidance, it will be easier to look at the integrals in reverse. Double integral, an application formula for Cartesian coordinate systems, and another application formula for polar coordinates. Dear, come on Look at the example questions and try to do it.
There is no problem if you pass the exam.
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The main thing is to read more books and eat them thoroughly.
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The theory of calculus is very practical, it is a tool for the study of various sciences, and it is the most important mathematical foundation for lifelong learning for students. Through calculus, things in motion can be described, a process of change can be described, and it can be said that the creation of calculus is very lacking and has promoted the progress of life. College students should strive to learn calculus well, so as to establish a scientific worldview and observe the world from a changing point of view.
However, asking "why do you want to learn how to integrate" is actually the same as asking "why do you want to learn mathematics?" How so? Since calculus is the starting point for the development of modern mathematics, students majoring in science-related fields must lay a good foundation in mathematics, which is explained by the following two main reasons.
Mathematics is the language of science! Think about it, if you go to a strange country and don't speak the language. Of course, you can live there for years with no learning at all or just a few words you need.
However, this will limit your life, your understanding of your environment, and of course your self-development. You'll never get a glimpse of the environment until you're learning the local language, and many opportunities that should be yours may slip away without you even knowing it. Perhaps you can learn only a small part of mathematics to meet the needs of acquiring knowledge in a certain field; But if you don't study math well, you'll be limited in what you can get, because you won't be able to understand the broader and deeper parts.
Books are hated when they are used, and the same is true for mathematics!
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There are many benefits to learning calculus, such as helping you understand mathematical concepts, improving your abstract thinking skills, developing your ability to think accurately, and improving your analytical thinking skills. In addition, studying calculus can also help you achieve excellence in science, engineering, mathematics, and other fields.
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Doing problems, continuously, to learn step by step, to learn the basic knowledge such as limits and derivatives first, and then learn to find integrals, this is a reverse process, you need to memorize formulas, and you also need to make appropriate use in doing problems.
First, you must be able to grasp the knowledge in books. Be specific, listen carefully to the lectures, take good notes, and try to memorize the main knowledge points in class. >>>More
I started playing guitar in my 20s, I didn't learn anything before, and now I have been in contact with guitar for 2 years, and now I have no problem playing and singing by myself, and I can also play some simple finger plays and some simple arrangements. Here are 3 sets of study plans for you:: >>>More
If you want to study well, you should calm down your mind and don't do things that have nothing to do with learning, such as watching TV and playing with your mobile phone.
Generally speaking, it is nothing more than taking classes seriously, doing homework seriously, doing a good job of previewing, reviewing, correcting mistakes, reflecting often, and summarizing often. Whether learning is excellent is a combination of many factors, foundation, interest, thinking, habits, attitudes, teachers, parents, peers, etc., no matter how good the method will vary from person to person, the best method must be summed up by yourself, and the most suitable for yourself is the best. Other people's methods, you can only learn from them at most. >>>More
1) Clarify the schedule of work and rest. When it's time to rest, you must take a good rest, don't allocate the rest time to studying, and don't study while resting, which will seriously affect your concentration. Clarifying the work and rest time is the key to improving learning efficiency, and the learning process is not only the accumulation of time, but more importantly, we should pay attention to the learning effect per unit time. >>>More