Question Number 105167 by mohammad17 last updated on 26/Jul/20

Commented bybemath last updated on 26/Jul/20

Answered by Aziztisffola last updated on 26/Jul/20

∫_(−∞) ^( ∞) xe^(−x^2 ) dx=[(e^(−x^2 ) /(−2))]_(−∞) ^∞ =0+0=0  ∫_(−2) ^3 (dx/x^3 )=∫_(−2) ^0 (dx/x^3 )+∫_0 ^3 (dx/x^3 )=[((−1)/(2x^2 ))]_(−2) ^0 +[((−1)/(2x^2 ))]_0 ^3   =lim_(x→0) ((−1)/(2x^2 ))+(1/8)−(1/(18))+lim_(x→0) (1/(2x^2 ))