电大高数积分部分试题与答案小抄参考

1、专业好文档积分部分：一、二章，不定积分和定积分：要求 理解原函数与不定积分概念，了解定积分概念，知道不定积分与导数（微分）之间的关系；例如：，而 熟练掌握积分基本公式和直接积分法； 掌握第一换元积分法（凑微分法）、分部积分法； 知道无穷限积分的收敛概念，会求简单的无穷限积分重点：原函数、不定积分和定积分概念、积分的性质、积分基本公式、第一换元积分法、分部积分法、无穷限积分典型例题：1.（1） 若，则（填）（2）下列函数中，（ ）是xsinx2的原函数 acosx2 b2cosx2 c-2cosx2 d-cosx2 （选择d） （3）下列等式成立的是（ ）a b c d（选择b）2.不定积分定、

2、积分的计算积分基本公式，牛顿莱布尼茨公式，积分计算方法：直接积分法，换元积分法和分部积分法（1） （答案：）（2） （答案：）（3）（答案：） (4) （答案：(5) （答案：（6） （答案：3.下列无穷积分中收敛的是（ ） a b c d（选择b）三章，积分应用要求(1) 熟练掌握用不定积分和定积分求总成本函数、收入函数和利润函数或其增量的方法；(2) 了解微分方程的几个概念，掌握简单的可分离变量的微分方程的解法，会求一阶线性微分方程的解重点：积分的几何应用、积分在经济分析中的应用、常微分方程典型例题1记住奇、偶函数在对称区间的定积分性质。 （1）下列积分计算正确的是（ ） a bc d（选

3、择：a）（2） （填：-2几何应用（1）已知曲线在任意点处切线的斜率为，且曲线过，则该曲线的方程是 。（填：）（2）在切线斜率为的积分曲线族中，通过点（1，4）的曲线为 。（填：）3.经济分析中的应用用不定积分或定积分求总成本函数、收入函数和利润函数或其增量。平均成本最小和利润最大步骤：（1）找出求最值的函数（如果是平均成本最小，要先从边际成本得到成本函数，再得到平均成本函数；如果是求利润最大，经常可以直接得到边际利润）；（2）求其一阶导数，找出驻点（唯一）（3）说明例如： 已知某产品的边际成本（万元/百台），为产量（百台），固定成本为18（万元），求该产品的平均成本最低平均成本又如：生产某产

4、品的边际成本为 (万元/百台)，边际收入为（万元/百台），其中为产量，问产量为多少时，利润最大？从利润最大时的产量再生产百台，利润有什么变化？作业和综合练习的题目作业3-4，综合练习3，5（积分部分）4.微分方程微分方程中的基本概念是指微分方程、阶、解（也就是通解、特解），线性微分方程等， （1）是 阶微分方程（填：2）（2）微分方程的通解为 . （填）winger tuivasa-sheck, who scored two tries in the kiwis 20-18 semi-final win over england, has been passed fit after a low

5、er-leg injury, while slater has been named at full-back but is still recovering from a knee injury aggravated against usa.both sides boast 100% records heading into the encounter but australia have not conceded a try since josh charnleys effort in their first pool match against england on the openin

6、g day.aussie winger jarryd hayne is the competitions top try scorer with nine, closely followed by tuivasa-sheck with eight.but it is recently named rugby league international federation player of the year sonny bill williams who has attracted the most interest in the tournament so far.the kiwi - wi

7、th a tournament high 17 offloads - has the chance of becoming the first player to win the world cup in both rugby league and rugby union after triumphing with the all blacks in 2011.id give every award back in a heartbeat just to get across the line this weekend, said williams.the (lack of) air up t

8、here watch mcayman islands-based webb, the head of fifas anti-racism taskforce, is in london for the football associations 150th anniversary celebrations and will attend citys premier league match at chelsea on sunday.i am going to be at the match tomorrow and i have asked to meet yaya toure, he tol

9、d bbc sport.for me its about how he felt and i would like to speak to him first to find out what his experience was.uefa hasopened disciplinary proceedings against cskafor the racist behaviour of their fans duringcitys 2-1 win.michel platini, president of european footballs governing body, has also

10、ordered an immediate investigation into the referees actions.cska said they were surprised and disappointed by toures complaint. in a statement the russian side added: we found no racist insults from fans of cska. baumgartner the disappointing news: mission aborted.the supersonic descent could happe

11、n as early as sunda.the weather plays an important role in this mission. starting at the ground, conditions have to be very calm - winds less than 2 mph, with no precipitation or humidity and limited cloud cover. the balloon, with capsule attached, will move through the lower level of the atmosphere

12、 (the troposphere) where our day-to-day weather lives. it will climb higher than the tip of mount everest (5.5 miles/8.85 kilometers), drifting even higher than the cruising altitude of commercial airliners (5.6 miles/9.17 kilometers) and into the stratosphere. as he crosses the boundary layer (call

13、ed the tropopause),e can expect a lot of turbulence.the balloon will slowly drift to the edge of space at 120,000 feet ( then, i would assume, he will slowly step out onto something resembling an olympic diving platform.they blew it in 2008 when they got caught cold in the final and they will not ma

14、ke the same mistake against the kiwis in manchester.five years ago they cruised through to the final and so far history has repeated itself here - the last try they conceded was scored by englands josh charnley in the opening game of the tournament.that could be classed as a weakness, a team under-c

15、ooked - but i have been impressed by the kangaroos focus in their games since then.they have been concentrating on the sort of stuff that wins you tough, even contests - strong defence, especially on their own goal-line, completing sets and a good kick-chase. theyve been great at all the unglamorous

16、 stuff that often goes unnoticed in the stands but not by your team-mates.it is as though their entire tournament has been preparation for the final.in johnathan thurston, cooper cronk, cameron smith and either billy slater or greg inglis at full-back they have a spine that is unmatched in rugby league. they have played in so many high-pressure games - a priceless asset going into saturday.the kiwis