Question

请问这个高数不定积分题解答过程中划线处是怎么转换过来的？必定及时采纳！谢谢(*°∀°)=3

是那个长的两个线哦

Answer 1

凑平方差公式

追问

谢谢(*°∀°)=3

Answer 2

∫[t^2/(1+t)]dt = ∫[(t^2+t-t-1+1)/(1+t)]dt
= ∫{[t(t+1)-(t+1)+1]/(1+t)]}dt
= ∫[(t-1+1/(1+t)]dt