1⼀(t ^2-4)的原函数是?

2024-12-20 15:56:13
推荐回答(2个)
回答1:

1/(t ^2-4)的原函数是?

解:
∫1/(t²-4)dt
=∫1/(t+2)(t-2)dt
=∫[1/(t-2)-1/(t+2)]/4dt
=[∫d(t-2)/(t-2)-∫d(t+2)/(t+2)]/4
=(ln|t-2|-ln|t+2|)/4+C
=(ln|(t-2)/(t+2)|)/4+C

回答2: