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Question Number 192406 by josemate19 last updated on 17/May/23

∫ ((√(x^2 −4))/x) dx???

∫x2−4xdx???

Answered by mehdee42 last updated on 17/May/23

x=2chu⇒dx=2shudu ⇒I=2∫ ((sh^2 u)/(chu)) du =2∫ (chu−(1/(chu)) )du =2(shu−2tag^(−1) e^u )=(√(x^2 −4))−4tag^(−1) (((x+(√(x^2 −4)))/2) ) +c ✓

x=2chu⇒dx=2shudu⇒I=2∫sh2uchudu=2∫(chu−1chu)du=2(shu−2tag−1eu)=x2−4−4tag−1(x+x2−42)+c✓

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