Question and Answers Forum

All Questions      Topic List

Limits Questions

Previous in All Question      Next in All Question      

Previous in Limits      Next in Limits      

Question Number 158780 by EbrimaDanjo last updated on 08/Nov/21

Answered by puissant last updated on 08/Nov/21

K=∫_0 ^1 e^e^e^e^e^x e^e^e^e^x e^e^e^x e^e^x e^x dx ; u=e^x → x=lnu → dx=(du/u) ⇒ K=∫_1 ^e e^e^e^e^u e^e^e^u e^e^u e^u du ; v=e^u → u=lnv → du=(dv/v) ⇒ K=∫_e ^e^e e^e^e^v e^e^v e^v dv ; w=e^v → v=lnw → dv=(dw/w) ⇒ K=∫_e^e ^e^e^e e^e^w e^w dw ; t=e^w → w=lnt → dw=(dt/t) ⇒ K= ∫_e^e^e ^e^e^e^e e^t dt = [e^t ]_e^e^e ^e^e^e^e = e^e^e^e^e −e^e^e^e ∴∵ K = e^e^e^e^e −e^e^e^e ...■ .................Le puissant.................

K=∫01eeeeexeeeexeeexeexexdx;u=ex→x=lnu→dx=duu⇒K=∫1eeeeeueeeueeueudu;v=eu→u=lnv→du=dvv⇒K=∫eeeeeeveevevdv;w=ev→v=lnw→dv=dww⇒K=∫eeeeeeewewdw;t=ew→w=lnt→dw=dtt⇒K=∫eeeeeeeetdt=[et]eeeeeee=eeeee−eeee∴∵K=eeeee−eeee...◼.................Lepuissant.................

Answered by MJS_new last updated on 08/Nov/21

let e_1 (x) =e^x ; e_2 (x) =e^e^x ... (d/dx)[e_n (x)]=Π_(j=1) ^n e_j (x) ⇒ ∫e_5 (x) e_4 (x) e_3 (x) e_2 (x) e_1 (x)dx= =e_5 (x)+C ⇒ answer is e_5 (1)−e_5 (0)=e_5 (1)−e_4 (1)

lete1(x)=ex;e2(x)=eex...ddx[en(x)]=∏nj=1ej(x)⇒∫e5(x)e4(x)e3(x)e2(x)e1(x)dx==e5(x)+C⇒answerise5(1)−e5(0)=e5(1)−e4(1)

Commented by MJS_new last updated on 08/Nov/21

...which is just a tiny number e_4 (1)≈10^(1656520) e_5 (1)=10^(e_4 (1))

...whichisjustatinynumbere4(1)≈101656520e5(1)=10e4(1)

Commented by EbrimaDanjo last updated on 08/Nov/21

wow well done sir

wowwelldonesir

Terms of Service

Privacy Policy

Contact: info@tinkutara.com