积分微分的定义区别是什么?


展开全部微分:设函数y=f(x)的自变量有一改变量△x,则函数的对应改变量△y的近似值f~(x)*△x叫做函数y的微分。 (“~”表示导数) 记为 dy=f~(x)△x 可见,微分的概念是在导数概念的基础上得到的。 自变量的微分的等于自变量的改变量,则 将△x用dx代之,则微分写为dy=f~(x)dx 变形为: dy/dx=f~(x) 故导数又叫微商。 积分:它是微分学的逆问题。函数f(x)的全体原函数叫做f(x)的或f(x)dx的不定积分。记作 ∫f(x)dx. 若F(x)是f(x)的原函数,则有 ∫f(x)dx=F(x)+C C为任意常数,称为不定积分常数。 对于定积分,它的概念来源不同于不定积分。定积分檎是从极限方面来。是从以“不变”代“变”,以“直”代“曲”求某个变化过程中无限多个微小量的和,最后取极限得到的。所以不定积分与定积分不是仅差一个常数的问题,即使是在计算上仅差一常数,而且运算法则也基本相同。它们之间建立关系是通过“牛顿-莱布尼兹公式”。公式是 非曲直 ∫f(x)dx=F(b)-F(a) 积分下限a,上限b已赞过已踩过你对这个回答的评价是?评论
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展开全部  积分是累加的一种形式,可以简单看成是无限项无限小的和。  微积分是两个东西的统称,微分和积分,二者互为逆运算。  刚才说积分是一种特殊的累加运算,不定积分就是已知一个函数的导数,要求的原函数,因为这样的原函数有无限多个(相差一个常数),所以叫不定。  那什么叫做定积分呢?积分不是一种累加吗,那定积分指定这种累加要从哪里开始,要到哪里结束,算出这个和。可以证明这个和是就是原函数在上下限的函数值的差(牛顿莱布尼茨定理),而这个原函数虽然有无限多个,但因为只是相差一个常数,所以这个差值是不变的,所以叫做定积分。',getTip:function(t,e){return t.renderTip(e.getAttribute(t.triangularSign),e.getAttribute("jubao"))},getILeft:function(t,e){return t.left+e.offsetWidth/2-e.tip.offsetWidth/2},getSHtml:function(t,e,n){return t.tpl.replace(/\{\{#href\}\}/g,e).replace(/\{\{#jubao\}\}/g,n)}},baobiao:{triangularSign:"data-baobiao",tpl:'{{#baobiao_text}}',getTip:function(t,e){return t.renderTip(e.getAttribute(t.triangularSign))},getILeft:function(t,e){return t.left-21},getSHtml:function(t,e,n){return t.tpl.replace(/\{\{#baobiao_text\}\}/g,e)}}};function l(t){return this.type=t.type
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定积分是变量限定在一定的范围内的积分,有积分上下限。微积分包括微分和积分,积分和微分互为逆运算,积分又包括定积分和不定积分,不定积分没有积分上下限。
微积分是高等数学中研究函数的微分、积分以及有关概念和应用的数学分支。它是数学的一个基础学科。内容主要包括极限、微分学、积分学及其应用。微分学包括求导数的运算,是一套关于变化率的理论。深圳市云中鹤科技股份有限公司成立于2012年,是国内的企业营销采购数字化平台,成功服务全国1000家以上大中型企业客户,10000万+企业C端个人用户。云中鹤秉持“垂直领域领先、综合领域延伸、产业生态布局”的发展战略,致力于打造“技术+商品...
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