Question Number 149205 by ArielVyny last updated on 03/Aug/21

∫_(−∞) ^0 (t/((1−t)^2 ))dt

Answered by MJS_new last updated on 03/Aug/21

∫(t/((1−t)^2 ))dt=∫(dt/(t−1))+∫(dt/((t−1)^2 ))= =ln ∣t−1∣ −(1/(t−1))+C ⇒ ∫_(−∞) ^0 (t/((1−t)^2 ))dt diverges