電大高數(shù)積分部分試題與答案小抄參考

1、專業(yè)好文檔積分部分：一、二章，不定積分和定積分：要求 理解原函數(shù)與不定積分概念，了解定積分概念，知道不定積分與導數(shù)（微分）之間的關系；例如：，而 熟練掌握積分基本公式和直接積分法； 掌握第一換元積分法（湊微分法）、分部積分法； 知道無窮限積分的收斂概念，會求簡單的無窮限積分重點：原函數(shù)、不定積分和定積分概念、積分的性質、積分基本公式、第一換元積分法、分部積分法、無窮限積分典型例題：1.（1） 若，則（填）（2）下列函數(shù)中，（ ）是xsinx2的原函數(shù) acosx2 b2cosx2 c-2cosx2 d-cosx2 （選擇d） （3）下列等式成立的是（ ）a b c d（選擇b）2.不定積分定、

2、積分的計算積分基本公式，牛頓萊布尼茨公式，積分計算方法：直接積分法，換元積分法和分部積分法（1） （答案：）（2） （答案：）（3）（答案：） (4) （答案：(5) （答案：（6） （答案：3.下列無窮積分中收斂的是（ ） a b c d（選擇b）三章，積分應用要求(1) 熟練掌握用不定積分和定積分求總成本函數(shù)、收入函數(shù)和利潤函數(shù)或其增量的方法；(2) 了解微分方程的幾個概念，掌握簡單的可分離變量的微分方程的解法，會求一階線性微分方程的解重點：積分的幾何應用、積分在經(jīng)濟分析中的應用、常微分方程典型例題1記住奇、偶函數(shù)在對稱區(qū)間的定積分性質。 （1）下列積分計算正確的是（ ） a bc d（選

3、擇：a）（2） （填：-2幾何應用（1）已知曲線在任意點處切線的斜率為，且曲線過，則該曲線的方程是 。（填：）（2）在切線斜率為的積分曲線族中，通過點（1，4）的曲線為 。（填：）3.經(jīng)濟分析中的應用用不定積分或定積分求總成本函數(shù)、收入函數(shù)和利潤函數(shù)或其增量。平均成本最小和利潤最大步驟：（1）找出求最值的函數(shù)（如果是平均成本最小，要先從邊際成本得到成本函數(shù)，再得到平均成本函數(shù)；如果是求利潤最大，經(jīng)?？梢灾苯拥玫竭呺H利潤）；（2）求其一階導數(shù)，找出駐點（唯一）（3）說明例如： 已知某產(chǎn)品的邊際成本（萬元/百臺），為產(chǎn)量（百臺），固定成本為18（萬元），求該產(chǎn)品的平均成本最低平均成本又如：生產(chǎn)某產(chǎn)

4、品的邊際成本為 (萬元/百臺)，邊際收入為（萬元/百臺），其中為產(chǎn)量，問產(chǎn)量為多少時，利潤最大？從利潤最大時的產(chǎn)量再生產(chǎn)百臺，利潤有什么變化？作業(yè)和綜合練習的題目作業(yè)3-4，綜合練習3，5（積分部分）4.微分方程微分方程中的基本概念是指微分方程、階、解（也就是通解、特解），線性微分方程等， （1）是 階微分方程（填：2）（2）微分方程的通解為 . （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