2道不定积分和极限的题目,
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/27 13:50:24
![2道不定积分和极限的题目,](/uploads/image/z/5217132-12-2.jpg?t=2%E9%81%93%E4%B8%8D%E5%AE%9A%E7%A7%AF%E5%88%86%E5%92%8C%E6%9E%81%E9%99%90%E7%9A%84%E9%A2%98%E7%9B%AE%2C)
2道不定积分和极限的题目,
2道不定积分和极限的题目,
2道不定积分和极限的题目,
1.
提示:注意到1-cosx=(x-sinx)'
∫(1-cosx)/(x-sinx)dx
=∫1/(x-sinx)d(x-sinx)
=ln(x-sinx)+C
2.
1'/[ln(e^x-1)]'
=0/[e^x/e^x-1)]
=0/e^x
=0
limx[1/ln(e^x-1)]=0
x->0+