求解不定积分∫cos(3x+1)dx

不会算,请帮忙提示下
2025-02-23 11:12:35
推荐回答(3个)
回答1:

你好!可以用分部积分法如图求出原函数。经济数学团队帮你解答,请及时采纳。谢谢!

回答2:

∫cos(3x+1)dx
=(1/3)∫cos(3x+1)d3x
=(1/3)∫cos(3x+1)d(3x+1)
=(1/3)∫d(sin(3x+1))
=(1/3)sin(3x+1)+C

回答3:


∫cos(3x+1)dx
=1/3∫cos(3x+1)d(3x+1)
=1/3∫cosudu
=1/3(sinu)+C
=1/3sin(3x+1)+C