求定积分<img src='https://img2.soutiyun.com/ask/2021-01-14/979464931491955.png' />

求下列依赖于参数的不定积分：<img src='https://img2.soutiyun.com/ask/2020-03-06/952339842026776.png' />

求下列依赖于参数的不定积分：<img src='https://img2.soutiyun.com/ask/2020-02-12/950394499913159.png' />

积分∫1/x√x²-1dx=（）<img src='https://img2.soutiyun.com/ask/2021-01-22/980173798513878.png' />

设D为xOy平面上的圆扇形域：x²+y²≤R²，x≥0，y≥0，求二重积分<img src='https://img2.soutiyun.com/ask/2020-09-25/969889852355131.png' />

判定下列定积分的大小：<img src='https://img2.soutiyun.com/ask/2020-08-14/966243888898776.png' />

求不定积分：<img src='https://img2.soutiyun.com/ask/2020-02-22/951216451032901.png' />

判断下列各广义积分的敛散性，若收敛，计算其值：<img src='https://img2.soutiyun.com/ask/2020-02-20/951076511215764.png' />

利用分部积分证明:<img src='https://img2.soutiyun.com/ask/2021-01-25/980415524997009.png' />

峰值<img src='https://img2.soutiyun.com/ask/uploadfile/5970001-5973000/8d4852392c221c60445bf45e0af0a2ed.png' />吸收是随着积分<img src='https://img2.soutiyun.com/ask/uploadfile/5970001-5973000/d5f3b52d38cafebcaa4674016bc2e89a.png' />吸收的增大而增大的，同时还随着下列哪个因素的增大而减小？( )

计<img src='https://img2.soutiyun.com/latex/latex.action' />，则这两个积分和数1的大小比较为( )．

求下列依赖于参数的不定积分：<img src='https://img2.soutiyun.com/ask/2020-03-06/952339684693443.png' />

求下列积分，应用分部积分法：<img src='https://img2.soutiyun.com/ask/2019-12-19/94561968946154.png' />

设a、b为常数，则反常积分<img src='https://img2.soutiyun.com/shangxueba/ask/18729001-18732000/18731251/2016071616291426579.jpg' />（）

在双积分型A/D转换器中,输入电压u₁和参考电压U_REF在极性上和数值上应满足什么关系？如果<img src='https://img2.soutiyun.com/ask/2021-01-31/980940865326115.png' />,电路能完成模数转换吗？为什么？

已知矢量A=ti-2tj+lntk，B=e'i+sintj-3tk，计算积分<img src='https://img2.soutiyun.com/ask/2020-09-23/969723435954376.png' />

下列定积分中，哪一个等于零？<img src='https://img2.soutiyun.com/ask/uploadfile/4245001-4248000/cf2151746698f8c63470de4580607b14.jpg' />

设D＝{（x，y）{x²+y²≤4），二重积分<img src='https://img2.soutiyun.com/shangxueba/ask/18726001-18729000/18727910/2016071616340816183.jpg' />，则（）

设C为不经过a与-a的正向简单闭曲线，a为不等于零的任何复数，试就a与-a同C的各种不同位置，计算积分<img src='https://img2.soutiyun.com/ask/2020-12-14/976804476359472.jpg' />。

设L是从A（1，0）到B（-1，2）的线段，则曲线积分<img src='https://img2.soutiyun.com/shangxueba/ask/17670001-17673000/17672554/201510271143115588.jpg' />（x+y）ds等于：（）

若<img src='https://img2.soutiyun.com/latex/latex.action' />，<img src='https://img2.soutiyun.com/latex/latex.action' />试证明时域卷积定理<img src='https://img2.soutiyun.com/latex/latex.action' />和频域卷积定理<img src='https://img2.soutiyun.com/latex/latex.action' />

求不定积分:<img src='https://img2.soutiyun.com/ask/2021-01-13/979403568074495.png' />

求不定积分<img src='https://img2.soutiyun.com/ask/2021-01-13/979402944371821.png' />

计算积分：<img src='https://img2.soutiyun.com/ask/2020-12-16/976984209185911.jpg' />

用Γ函数表示下列积分，并计算积分值<img src='https://img2.soutiyun.com/ask/2020-08-11/965988508368335.png' />