【標準編】パラメータ表示の面積を完全攻略！グラフの描き方から積分計算まで

"How do I find the area of ​​a curve expressed as x=f(t), y=g(t)?" This video will solve that problem once and for all! Cycloids, asteroids, and other parametric curves frequently appear in entrance exams for top universities. Instead of memorizing formulas, mastering the "procedure for correctly drawing a graph" and the "inevitable flow of substitution integrals" will make even the most complex curves less intimidating. [Key Points of This Video] Complete Increase/Decrease Table: A method for accurately understanding graph movement using the "diagonal arrows" from the signs of x' and y'. Process for Finding Area: A technique for avoiding mismatches between integral intervals when converting dx to dt. Determining Hierarchical Relationships: How to think about "addition and subtraction" of area when there are two y's for the same x. Calculation Tricks: Time-saving techniques that utilize symmetry and efficient methods for integrating trigonometric functions. From the very basics to Level 3 (prestigious university level), learn "parameterized area" in a step-by-step format to make it your own! [00:00] Intro: Parameterized Area of ​​Curves [00:15] [Lv.1] Basics: The Very Basics of Graphing and Integration [05:24] [Lv.2] Practice: Area of ​​Curves with Loops and Handling Hierarchical Relationships [10:22] [Lv.3] Most Important! Utilizing Symmetry and Complex Substitution Integrals [13:52] Prestigious University Level Calculation Tricks (Placing α) [17:00] Summary: Steps to Mastering Cycloids 📥 Click here for the textbook for this class (note) https://note.com/metprep78m ━━━━━━━━━━━━━━━ 📢 How to Save Money with Membership ━━━━━━━━━━━━━━━━ Member-only videos are also available!    / @omowaka   ⚠️ Applying via the iPhone/iPad app will incur a 30% increase due to Apple's processing fee. We strongly recommend joining via your PC or smartphone browser (Safari or Chrome)! ━━━━━━━━━━━━━━━ 🏫 Receive the guidance of Japan's No. 1 school for successful admissions ━━━━━━━━━━━━━━━ 🐶 No. 1 in Japan for successful admissions to veterinary school! "Veterinary Prep School VET" http://vetprep78.com 🩺 Aiming for medical school or other top universities: "MET Mathematics School" http://metprep78.com ▼ Omowaka Official LINE (Study Methods & Exclusive Materials) 👉 https://lin.ee/ULsqaG4 ━━━━━━━━━━━━━━━ 👨‍🏫 Instructor Profile: Nozomi Takahashi ━━━━━━━━━━━━━━━ After failing the university entrance exam four times, Takahashi entered the Department of Mathematical Engineering, Faculty of Engineering, Osaka Prefecture University. At the age of 30, he founded Veterinary Prep School VET. Despite having only one campus in Osaka, he has grown the school into a nationwide prep school with an overwhelming success rate. With the motto of "high-quality, comprehensive videos," he currently provides lessons to students struggling with math. 👍 If you found this video helpful, please like and subscribe! #parameterization #parameters #area #mathIII #integration #interesting #universityentranceexams #mathIII #howtograph