![[微積分] 積分(Integrals) ปก](https://d1e9oo257tadp1.cloudfront.net/uploads/content/cover_file/1191637/thumb_m_7ee8ad611c.jpg?Expires=1750189705&Signature=VKf-dFIJJKuyVVqelqEC4KFhzgeTm~0MIUD-dahF2nJiBMWvBbq8IKL2XceJNMSCocnoBs5G0MUeWDolseaVSH~brwVRwFyHKV~JA-FtrTxOqtR2MyQEfzIHLTHz381YdKr30qfGIM9cBwkaXyd9ufREJ5hLx1jRMXzEX~ERxvchHEyLrHOHJDvUrXTvhtKY31SJKbHDnLwRYVEPonvdEj8cwSphb6L8QJu2hlYG58YtxptQwqc5DB1DnD7OXuoFq9~ZJsAY4Q0I9BhX6JPw9YyMsxgL5IW8fCL34k7Q~VIPpk~DB5o757f05ddq3SdfmBYhCJEgy8hku-lQN8llTw__&Key-Pair-Id=K2W722D70GJS8W)
![[微積分] 積分(Integrals) หน้า 1](https://d1e9oo257tadp1.cloudfront.net/uploads/page/file/3507727/thumb_file.jpg?Expires=1750189704&Signature=l9I1WyGV0i3qjK21V1qKHbGiaa0JKQ4BWAlTnbRxALnnEyFcdqylfekE0ajWDIb-DEx6x-NaxFY8PjNhBfSErF5b9lGlOJjo08NzG-KwUE1vpzYUkO2ZlLsoFRjHjW4MrVuxruwoFEPqCqSrOS33A0LMz7ErcvhIBPRHF6RcbmHroi6X21xVruqcGfOuGQC0BCJ-af9uh-0h9I4BKrlJePeHv~Yxb45dDZs5nhqTW59PT2IyVPB3fN99HCcXIpI2KgqQDh3nvvtNBlAdfDlwBqS1Opdb3f4Gh~BitKECwe-WU8n4xnqJt~nmAAJvwKT7RyeQgWYGPnANqSylIgzIwA__&Key-Pair-Id=K2W722D70GJS8W)
![[微積分] 積分(Integrals) ad banners](https://d1e9oo257tadp1.cloudfront.net/public/assets/notebook/note_page_ad_banners-aecf793f8a12693aa6f93a880769121a5df04be8e3fb1c063f4a93789f8d8f83.svg)
![[微積分] 積分(Integrals) หน้า 2](https://d1e9oo257tadp1.cloudfront.net/uploads/page/file/3507728/thumb_file.jpg?Expires=1750189705&Signature=VKN5L3H2ip2Tu1tEtjbGzQd4UdfJt7ncsr0bHuACr9S5Qx1IZov03lXLiMcjScwwrZ~ETZqSfYhJ6w-axbgXlc0~FQ0hEzpLm9ZABUKZk6Jt1jpjWE-s~tHvxIoYFDhQRBngS4YfQBZCzYxai8cpEaBW7qK~FbmLU~4LBdc4b8EVSgdNyoJz5S~hmbyHX-nUU3SFn5Y7H0pn2aj7Bx53wQ2VufB~WX-WqKC-Bw4xAipKGrj1XoRl2VAFNUall0ZDkbaYGhw5qUcuXx6niHpQL5DBNuNNEWEhEXTn8rJIvXMSrzbFfqYUVEimm3ElogZspQPGNU4vf3gCP3iGNpFhjA__&Key-Pair-Id=K2W722D70GJS8W)
![[微積分] 積分(Integrals) หน้า 3](https://d1e9oo257tadp1.cloudfront.net/uploads/page/file/3507729/thumb_file.jpg?Expires=1750189705&Signature=hNewshipIEOsjeMTwf~-qgBLKjoXx01s3SN3N5YxbsTzFQojIajm3kEMX44~qmgj56jmo-yX0Yw7Sfp3eWdGvsLsSN6KBn-8zyvftOTDvJAeFAyZmYP6pU~i6DDMFenMNDxRS6ZYyy6vmH-zTbAYStVaV3a1CGvgLleNjqnYtwOXcedXSVjBK7XNLqsUnB05YOU~-wrcM5UJ7ECTzZw~WphDQCw3Z3dZC2bKvwUNWXYXUocliKSAQs8r4hy064ckUEGux61FzNg4g2B91Amoxy5I9lfy6pvd3CTvdjXc~De-twGzgkbU35iteFC1kmHrXOxdNPG86oDL2o~~VFs4SA__&Key-Pair-Id=K2W722D70GJS8W)
![[微積分] 積分(Integrals) หน้า 4](https://d1e9oo257tadp1.cloudfront.net/uploads/page/file/3507730/thumb_file.jpg?Expires=1750189705&Signature=Q~svfj6LPQzNirZ6IIyHpfz5XQC55lFD32yHI4b8N1wR-FgIlhXgobL-aFjZIoTHmDHW-EgBG8Py3Ch0Zwz3gpbCL~uFVseq4~9w04LkDmjzPE1vD9iTVxZVJmH24PTAOfcanfzJrO~GvZVFq-Lq7mcDuJfWz9z6SMFIou--lEKkLyGrMYUbX2lGmwVnUr3Yo75XwW1jwzhxRg5QeGNECYjTHYrtfOTsrs9v~cEiYe5Wez4i05Iu0cKbjcLN9RSAduvWBBDYUp03KAzkKSqFrYyBpb9NtGyhDiWNaukC7T3~~IMgi-CtJQTZ9ChvKTGUG5kwmYDQTTCytqppM8tJwQ__&Key-Pair-Id=K2W722D70GJS8W)
![[微積分] 積分(Integrals) หน้า 5](https://d1e9oo257tadp1.cloudfront.net/uploads/page/file/3507731/thumb_file.jpg?Expires=1750189705&Signature=y1WmZJIFQ2zjsuFfi2kWAS6fshUTKXSzVdcUAUt36H5Rx5-8wDLj4gO67~JD~tuGeDzUeR2ZcQ9BTA406IVI1OeWHD2nCNrXZoeloyhvawB6T-vZHglUKKjv4exW-phqVNV1~1hC9NKw70rEVv6XZczBYMK-Ja1fn4qKjkIdJ-cSlOXCh3e6Z5N1RrCHU6WPdicx44UFio3fSZDzE7ELmipzxOhBQHlXIjgmP6U5kvFAqBJzn~6etbV4ceAfv10MR9T3ufATKt9nZqH26hzCPsDhFBxJDVm8fNhl5X8QDHrs59i0sDv0yWOqu6G-F7jbieeTjsaoj3-wQnE7hq8dNw__&Key-Pair-Id=K2W722D70GJS8W)
![[微積分] 積分(Integrals) หน้า 6](https://d1e9oo257tadp1.cloudfront.net/uploads/page/file/3507732/thumb_file.jpg?Expires=1750189705&Signature=kcp36RXSLJwl3qrYF4mkgc697UzgyqsV1oWOFdLJ51cv8wM1ISGUWSno9LyvHAS-k~E4B5a~0nkrYjrP0o8nKdnxawaUG9GsWSznSxAWIoi8G~vDiRJhmpwfvA2VETfWlal5I~eoVCgYDTVLBTJAIWHXA-deC7~XudKG1~z40FRole8rc5QCb723QhOBs5AEZFnWm7ICjyIPGagw0fCWq3h03CdeIomSpWJGaSFj4K3WH3d~0AFTvBQIsjN3X6SyYq4djg7KucFs2SgIVNYvy6iE6tEfwOwPyFUxbMhbFiIl~SRuQkCTH2OuV6P34BL3V5r7fWt~PpbLfwwyWT6aNg__&Key-Pair-Id=K2W722D70GJS8W)
![[微積分] 積分(Integrals) หน้า 7](https://d1e9oo257tadp1.cloudfront.net/uploads/page/file/3507733/thumb_file.jpg?Expires=1750189705&Signature=u7EiFcMw2SphgEzIjme0XbB4qumOtNMcNMV~Pz3rM2VE7vbLCGh07BfJudBS8ulYBUqksUNJbkLfMHCniGGYyTbKSk7ok7wAjRAP-NPjiE4TioxkvsshzpGxNj9NiZ-7npUtOYrdZ16BMna4Z8rh-4jGOVcDAsfP1jm1fGgtnah~ynYT16kkrPL2ovM7ItTEzupm-dCdbMOESoyzjK9duKp6Hf-wjQSaDZLrLP8MxK~KWgHMX4GEuewo85hV9Q9osKfRkRi5OyvXA97IdEM3jHyuO4oxpfxHT4pPxw-TBTHvTghSxMgLlDLcW6BsugUYg3tUs-MPenTr5olChY54xQ__&Key-Pair-Id=K2W722D70GJS8W)
เผยแพร่เมื่อ
แก้ไขเมื่อ
Undergraduate
數學與統計
[微積分] 積分(Integrals)
235
7662
2
ข้อมูล
從高中版轉來大學版第二篇筆記，喜歡的話再陸續放其他範圍。
整理筆記的目標是希望幾個月後要複習的話還能抓回大部分細節，所以不是單純的重點整理而是有系統地濃縮課本內容。
參考書籍：Essential Calculus Early Transcendentals (Second Edition) By James Stewart
ความคิดเห็น
ล็อกอินเพื่อแสดงความคิดเห็น
ผลการค้นหาอื่น ๆ
สมุดโน้ตแนะนำ
คำถามที่เกี่ยวข้องกับโน้ตสรุปนี้
Undergraduate
數學與統計
想問這題要怎麼證明 不知道要怎麼證明單調跟有界
Undergraduate
數學與統計
想問第七題，謝謝🙏
Undergraduate
數學與統計
想問3、5、6題，謝謝🥹🙏
Undergraduate
數學與統計
怎麼對arcsin(c)不定積分
Undergraduate
數學與統計
第三題求瑕積分收斂或發散 收斂則求值 這題該怎麼算😭😭各位大神幫幫忙🫸🏻🙏🏻🙏🏻
Undergraduate
數學與統計
想請問這題，是清大先修課（微積分）的題目！ 有點看不太懂詳解⋯⋯ 非常感謝！><
Undergraduate
數學與統計
剛開始學隱函數，想問框起來的部分是用什麼rule呢？課程裡面是說用chain rule，但我看不太懂是怎麼寫成那樣的
Undergraduate
數學與統計
請問45.題怎麼做？（積分）
Undergraduate
數學與統計
請問這題要怎麼解？（積分）
Undergraduate
數學與統計
求解微積分旋轉體積問題 卡關了🥲 求由以下曲線所圍成的區域，繞 x 軸 旋轉所形成的立體的體積： y = x, y=1/x, y = 2x
News
請問關於微積分基本定理一 為什麼對於負的h也成立?謝謝！
非常喜歡！希望你還能再出普物，普化的筆記！謝謝~