问一个基础微积分问题

积分1/(x^2+9)怎么做啊,是有什么公式么
2025-04-05 19:50:18
推荐回答(2个)
回答1:

设 x = 3tant,则 dx = 3(sect)^2*dt
∫dx/(x^2 +9)
=∫3(sect)^2*dt/[9(tant)^2 + 9]
=1/3*∫(sect)^2*dt/(sect)^2
=1/3*∫dt
=1/3*t + C
=1/3*arctan(x/3) + C

回答2: