高数不定积分题,
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/08/10 04:45:00
高数不定积分题,
![](http://img.wesiedu.com/upload/a/99/a99ddeecd69e454b08ddf1101143d8fd.jpg)
![](http://img.wesiedu.com/upload/a/99/a99ddeecd69e454b08ddf1101143d8fd.jpg)
![高数不定积分题,](/uploads/image/z/18405375-15-5.jpg?t=%E9%AB%98%E6%95%B0%E4%B8%8D%E5%AE%9A%E7%A7%AF%E5%88%86%E9%A2%98%2C)
这个问题这样做
∫ (sin^2x+cos^2x)/(2sin^2x+cos^2x)dx
=∫ (tan^2x+1)/(2tan^2x+1)dx
=∫ sec^2x/(2tan^2x+1)dx
=∫ 1/(2tan^2x+1)dtanx
然后不用我说了吧?
∫ (sin^2x+cos^2x)/(2sin^2x+cos^2x)dx
=∫ (tan^2x+1)/(2tan^2x+1)dx
=∫ sec^2x/(2tan^2x+1)dx
=∫ 1/(2tan^2x+1)dtanx
然后不用我说了吧?