【中英双语】油管播放量最高的微积分2，别再被微积分2劝退！手把手带你拿下高数下

名校课程-顶级中配

合集 · 数学基础 (34)

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Parts

  1. P1 · [中文] Calculus 2 Lecture 6.1: The Natural Log Function
  2. P2 · [中文] Calculus 2 Lecture 6.2: Derivatives of Inverse Functions
  3. P3 · [中文] Calculus 2 Lecture 6.3: Derivatives and Integrals of Exponential Functions
  4. P4 · [中文] Calculus 2 Lecture 6.4: Derivatives and Integrals of General Exponential F
  5. P5 · [中文] Calculus 2 Lecture 6.5: Calculus of Inverse Trigonometric Functions
  6. P6 · [中文] Calculus 2 Lecture 6.6: A Discussion of Hyperbolic Functions
  7. P7 · [中文] Calculus 2 Lecture 6.7: Evaluating Limits of Indeterminate Forms
  8. P8 · [中文] Calculus 2 Lecture 7.1: Integration By Parts
  9. P9 · [中文] Calculus 2 Lecture 7.2: Techniques For Trigonometric Integrals
  10. P10 · [中文] Calculus 2 Lecture 7.3: Integrals By Trigonometric Substitution
  11. P11 · [中文] Calculus 2 Lecture 7.4: Integration By Partial Fractions
  12. P12 · [中文] Calculus 2 Lecture 7.6: Improper Integrals
  13. P13 · [中文] Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separ
  14. P14 · [中文] Calculus 2 Lecture 9.1: Convergence and Divergence of Sequences
  15. P15 · [中文] Calculus 2 Lecture 9.2: Series, Geometric Series, Harmonic Series, and Div
  16. P16 · [中文] Calculus 2 Lecture 9.3: Using the Integral Test for Convergence/Divergence
  17. P17 · [中文] Calculus 2 Lecture 9.4: The Comparison Test for Series and The Limit Compa
  18. P18 · [中文] Calculus 2 Lecture 9.5: Showing Convergence With the Alternating Series Te
  19. P19 · [中文] Calculus 2 Lecture 9.6: Absolute Convergence, Ratio Test and Root Test For
  20. P20 · [中文] Calculus 2 Lecture 9.7: Power Series, Calculus of Power Series, Ratio Test
  21. P21 · [中文] Calculus 2 Lecture 9.8: Representation of Functions by Taylor Series and M
  22. P22 · [中文] Calculus 2 Lecture 9.9: Approximation of Functions by Taylor Polynomials
  23. P23 · [中文] Calculus 2 Lecture 10.2: Introduction to Parametric Equations
  24. P24 · [中文] Calculus 2 Lecture 10.3: Calculus of Parametric Equations
  25. P25 · [中文] Calculus 2 Lecture 10.4: Using Polar Coordinates and Polar Equations
  26. P26 · [中文] Calculus 2 Lecture 10.5: Calculus of Polar Equations
  27. P27 · [中文] Numerical Integration With Trapezoidal and Simpson's Rule
  28. P28 · [英文] Calculus 2 Lecture 6.1: The Natural Log Function
  29. P29 · [英文] Calculus 2 Lecture 6.2: Derivatives of Inverse Functions
  30. P30 · [英文] Calculus 2 Lecture 6.3: Derivatives and Integrals of Exponential Functions
  31. P31 · [英文] Calculus 2 Lecture 6.4: Derivatives and Integrals of General Exponential F
  32. P32 · [英文] Calculus 2 Lecture 6.5: Calculus of Inverse Trigonometric Functions
  33. P33 · [英文] Calculus 2 Lecture 6.6: A Discussion of Hyperbolic Functions
  34. P34 · [英文] Calculus 2 Lecture 6.7: Evaluating Limits of Indeterminate Forms
  35. P35 · [英文] Calculus 2 Lecture 7.1: Integration By Parts
  36. P36 · [英文] Calculus 2 Lecture 7.2: Techniques For Trigonometric Integrals
  37. P37 · [英文] Calculus 2 Lecture 7.3: Integrals By Trigonometric Substitution
  38. P38 · [英文] Calculus 2 Lecture 7.4: Integration By Partial Fractions
  39. P39 · [英文] Calculus 2 Lecture 7.6: Improper Integrals
  40. P40 · [英文] Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separ
  41. P41 · [英文] Calculus 2 Lecture 9.1: Convergence and Divergence of Sequences
  42. P42 · [英文] Calculus 2 Lecture 9.2: Series, Geometric Series, Harmonic Series, and Div
  43. P43 · [英文] Calculus 2 Lecture 9.3: Using the Integral Test for Convergence/Divergence
  44. P44 · [英文] Calculus 2 Lecture 9.4: The Comparison Test for Series and The Limit Compa
  45. P45 · [英文] Calculus 2 Lecture 9.5: Showing Convergence With the Alternating Series Te
  46. P46 · [英文] Calculus 2 Lecture 9.6: Absolute Convergence, Ratio Test and Root Test For
  47. P47 · [英文] Calculus 2 Lecture 9.7: Power Series, Calculus of Power Series, Ratio Test
  48. P48 · [英文] Calculus 2 Lecture 9.8: Representation of Functions by Taylor Series and M
  49. P49 · [英文] Calculus 2 Lecture 9.9: Approximation of Functions by Taylor Polynomials
  50. P50 · [英文] Calculus 2 Lecture 10.2: Introduction to Parametric Equations
  51. P51 · [英文] Calculus 2 Lecture 10.3: Calculus of Parametric Equations
  52. P52 · [英文] Calculus 2 Lecture 10.4: Using Polar Coordinates and Polar Equations
  53. P53 · [英文] Calculus 2 Lecture 10.5: Calculus of Polar Equations
  54. P54 · [英文] Numerical Integration With Trapezoidal and Simpson's Rule
Description 
从自然对数函数的导数与积分切入，这系列课程系统梳理了大一下微积分2的核心运算板块。内容沿着函数求导与积分两条主线展开，先帮你吃透反函数、指数函数和一般指数函数的求导法则，再进入反三角函数的图像性质与微积分计算，接着用双曲函数连接几何直观和公式推导，让抽象概念变得具体。后半段聚焦积分技巧的实战训练，从极限不定式的判別、分部积分法的灵活运用，到三角函数积分的奇偶幂次策略、三角代换和部分分式积分法，最后用反常积分的概念与解题收尾，形成一条从基础夯实到综合提升的完整路径。整个系列注重思路拆解和题型归纳，适合正在修读大一下高等数学、准备期中期末考试的同学，也适合需要快速回顾积分技巧的理工科学习者，跟着课程节奏走，微积分2的运算难点会逐渐变得清晰顺手。

Comments

dgcai 2026-07-15

这配音很真实啊[吃瓜]