int(cos(logex))/xdx 02:25 inte^(logex)cosxdx 02:03 int(sqrt(sinx))cosxdx=? 01:08 int sin^9x cosxdx 00:40 inte^sinx cosxdx 00:29 " (a) "int e^(x)cosxdx 02:19 " (7) "int x cosxdx 01:22 int cosxdx 01:16Exams...
计算∫eˣ sinx dx时,需使用分部积分法(Integration by Parts)。由于积分对象是三角函数与指数函数的乘积,需两次应用分部积分,并通过移项解方程得到结果。 第一次分部积分 设u = sinx,dv = eˣ dx,则du = cosx dx,v = eˣ。代入分部积分公式:∫eˣ sinx dx = eˣ ...
Integration over D yields + a(x' - g-(u) d x ~ O . ~D D If ~>0, then fa(x)(g(u)/g(u + s))dx<0. Moreover by the maximum principle and D the 4ifferentiability of g, ~ > 0 hence g(u) > 0 in D. Then, letting e ~ 0 we obtain fa(x) dx < O. 1) The 1...
45 project-trans/MtF-wiki MtF.wiki is a free, open, and continuously updated transgender female knowledge integration site. 688 1 2024-01-15 46 wx-chevalier/Database-Notes 📚深入浅出数据库存储:数据库理论、关系型数据库、文档型数据库、键值型数据库、New SQL、搜索引擎、数据仓库与 OLAP、大数据...
The integral ∫ex(f(x)+f'(x))dx can be solved by using integration by parts such that: I=∫exf(x)dx+∫exf'(x)dx=exf(x)−∫exf'(x)dx+∫exf'(x)dx=exf(x)+C , and ∫eax(f(x)+f'(x)a)dx=eaxf(x)a+C ,Now answer the question:∫{loge(logex)+1(logex)2}dx is eq...