#高等数学分析微积分calculus#@海离薇:使用分部积分法创造不定积分∫(9x^2+13x+3)Ln(2x+3)In(3x+2)dx。BGM是海顿钢琴曲。 5.3万 32 1:09:25 App 2024麻省理工积分大赛 - 决赛 (2024 MIT Integration Bee - Finals) 591 -- 2:07 App 【d4bd x Joji Type Beat“Run away”】求不定积分 ∫1/(...
16:39 int 0 to 1 (xln(x))((x+1)(x^2+1)) & a cool related integral 12:33 使用费曼的OP技术解决这个令人惊讶的棘手积分 14:05 An outrageous journey of integration int 0 to π4 arctan(cot^2(x)) 11:15 A cool integral for Apery's constant (ζ(3)) int 0 to 1 (x(1-x))...
/$^p$ V :={the space of p-vectors over V}: set of vector space; dimension= Cnnpp (每一个组合表示一个维度(比如x ̄1∧x ̄2∧x ̄3表示一个维度, x ̄1 ∧x ̄3∧x ̄4表示另一个维度) ) /$^pVV*$:={the space of p-forms over V∗∗}: set of form space; di...
1 : a branch of higher mathematics concerned especially with rates of change and the finding of lengths, areas, and volumes 2 a : a mass that consists mostly of mineral salts and is formed in a hollow organ or bodily duct b : tartar entry 1 sense 2 Medical Definition calculus no...
1 a : a method of computation or calculation in a special notation (as of logic or symbolic logic) b : the mathematical methods comprising differential and integral calculus often used with the 2 : calculation … even political conservatives agree that an economic calculus must give way...
高数/calculus笔记 积分技巧2 反常积分 类型1. 无限积分(infinite integral) 如果对于 , 均存在,那么 2. 如果对于 , 均存在,那么 如果极限存在,则称该反常积分为收敛的(convergent)否则是发散的(divergent)3. 如果 与 均为收敛的 那么 收敛当且仅当 ,发散当且仅当 类型2:不连续的积分(discontinous integral)...
Counting Numbers vs. Measurement Numbers Not every number is the same. We don’t often consider the difference between the “counting numbers” (1, 2, 3…) and the “measuring numbers” like 2.58, $\pi$, $\sqrt{2}$. Our first math problems involve counting: we have 5 apples and remo...
This chapter discusses the concepts of differential calculus in the terminology of linear algebra. Thus, for functions from one Euclidean space to another, derivatives are given as linear transformations, higher order derivatives are given as multilinear forms, and Taylor's series is presented in ...
1 Visualizing cubical forms 2 Forms as integrands 3 The algebra of forms 4 Derivatives of functions vs. derivatives of forms 5 The exterior derivative of a 11-form 6 Cubical forms with a spreadsheet 7 Bird's-eye view of calculus 8 Algebraic properties of the exterior derivative 9 Tangent spa...
Applied Mathematics (2) Featured (3) History (4) Reviews (1) Tutorials (6) Recent Posts Top 3 Common Mistakes when calculating One-Sided Limits A Deeper Dive into the Casio fx-CG50: A Calculus Perspective Learning Calculus is tough but it shouldn’t be Calculus Professor Showdown: Gilbert...