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Question Number 109606 by mathdave last updated on 24/Aug/20

Commented by malwan last updated on 24/Aug/20

What do you do sir ?  You post the solution as question  and ?? where is the final result??

$${What}\:{do}\:{you}\:{do}\:{sir}\:? \\ $$$${You}\:{post}\:{the}\:{solution}\:{as}\:{question} \\ $$$${and}\:??\:{where}\:{is}\:{the}\:{final}\:{result}?? \\ $$

Commented by mnjuly1970 last updated on 24/Aug/20

very nice very nice   thank you so much master  peace upon you    where are you from  master    will you do me a favour?   please send me a suitable  and nice (pdf) of advanced  calculus and integral if it is  possible   sincerely yours   m.n.july  1970 math teacher..

$${very}\:{nice}\:{very}\:{nice}\: \\ $$$${thank}\:{you}\:{so}\:{much}\:{master} \\ $$$${peace}\:{upon}\:{you}\: \\ $$$$\:{where}\:{are}\:{you}\:{from}\:\:{master}\: \\ $$$$\:{will}\:{you}\:{do}\:{me}\:{a}\:{favour}? \\ $$$$\:{please}\:{send}\:{me}\:{a}\:{suitable} \\ $$$${and}\:{nice}\:\left({pdf}\right)\:{of}\:{advanced} \\ $$$${calculus}\:{and}\:{integral}\:{if}\:{it}\:{is} \\ $$$${possible}\: \\ $$$${sincerely}\:{yours}\:\:\:{m}.{n}.{july} \\ $$$$\mathrm{1970}\:{math}\:{teacher}.. \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

Commented by mathdave last updated on 24/Aug/20

alright

$${alright} \\ $$

Commented by mnjuly1970 last updated on 24/Aug/20

grateful.

$${grateful}. \\ $$

Commented by mnjuly1970 last updated on 24/Aug/20

Commented by mnjuly1970 last updated on 24/Aug/20

   my gmail  mehdinazerian98@gmail.com

$$\:\:\:{my}\:{gmail} \\ $$$${mehdinazerian}\mathrm{98}@{gmail}.{com} \\ $$

Commented by mathdave last updated on 24/Aug/20

check the complete solution by  stroll downward

$${check}\:{the}\:{complete}\:{solution}\:{by}\:\:{stroll}\:{downward} \\ $$

Commented by malwan last updated on 24/Aug/20

yes sir  again  you post the solution as question  Did you understand what I say¿?

$${yes}\:{sir} \\ $$$${again} \\ $$$${you}\:{post}\:{the}\:{solution}\:{as}\:{question} \\ $$$${Did}\:{you}\:{understand}\:{what}\:{I}\:{say}¿? \\ $$

Commented by mr W last updated on 24/Aug/20

mathdave sir:  your contribution is appreciated very  much! but this forum is a public  place for all people. its rules should  be respected by all users. if you give  answer to an existing question,  please post the answer in the thread  where the question is, instead of  opening a new thread without   reference to the old one. if all people  do like this the forum will become  mess soon. i don′t think this is  what you want and what mnjuly1970  sir wants.

$${mathdave}\:{sir}: \\ $$$${your}\:{contribution}\:{is}\:{appreciated}\:{very} \\ $$$${much}!\:{but}\:{this}\:{forum}\:{is}\:{a}\:{public} \\ $$$${place}\:{for}\:{all}\:{people}.\:{its}\:{rules}\:{should} \\ $$$${be}\:{respected}\:{by}\:{all}\:{users}.\:{if}\:{you}\:{give} \\ $$$${answer}\:{to}\:{an}\:{existing}\:{question}, \\ $$$${please}\:{post}\:{the}\:{answer}\:{in}\:{the}\:{thread} \\ $$$${where}\:{the}\:{question}\:{is},\:{instead}\:{of} \\ $$$${opening}\:{a}\:{new}\:{thread}\:{without}\: \\ $$$${reference}\:{to}\:{the}\:{old}\:{one}.\:{if}\:{all}\:{people} \\ $$$${do}\:{like}\:{this}\:{the}\:{forum}\:{will}\:{become} \\ $$$${mess}\:{soon}.\:{i}\:{don}'{t}\:{think}\:{this}\:{is} \\ $$$${what}\:{you}\:{want}\:{and}\:{what}\:{mnjuly}\mathrm{1970} \\ $$$${sir}\:{wants}. \\ $$

Commented by Aziztisffola last updated on 24/Aug/20

Sir,  And me could I have this nice pdf of   advanced calculus and itegrals, if is    it possile.  my email adress is:   ighrm@hotmail.com  Thank you sir.

$$\mathrm{Sir}, \\ $$$$\mathrm{And}\:\mathrm{me}\:\mathrm{could}\:\mathrm{I}\:\mathrm{have}\:\mathrm{this}\:\mathrm{nice}\:\mathrm{pdf}\:\mathrm{of} \\ $$$$\:\mathrm{advanced}\:\mathrm{calculus}\:\mathrm{and}\:\mathrm{itegrals},\:\mathrm{if}\:\mathrm{is}\: \\ $$$$\:\mathrm{it}\:\mathrm{possile}. \\ $$$$\mathrm{my}\:\mathrm{email}\:\mathrm{adress}\:\mathrm{is}: \\ $$$$\:\mathrm{ighrm}@\mathrm{hotmail}.\mathrm{com} \\ $$$$\mathrm{Thank}\:\mathrm{you}\:\mathrm{sir}. \\ $$

Commented by mathdave last updated on 24/Aug/20

add me up on watsapp with this number   09073487193

$${add}\:{me}\:{up}\:{on}\:{watsapp}\:{with}\:{this}\:{number}\: \\ $$$$\mathrm{09073487193} \\ $$

Commented by kaivan.ahmadi last updated on 24/Aug/20

Hi sir, where are you from?

$${Hi}\:{sir},\:{where}\:{are}\:{you}\:{from}? \\ $$

Commented by 1549442205PVT last updated on 25/Aug/20

Sir put y=−y but don′t change limits  of defined integral then lead to serious  mistake

$$\mathrm{Sir}\:\mathrm{put}\:\mathrm{y}=−\mathrm{y}\:\mathrm{but}\:\mathrm{don}'\mathrm{t}\:\mathrm{change}\:\mathrm{limits} \\ $$$$\mathrm{of}\:\mathrm{defined}\:\mathrm{integral}\:\mathrm{then}\:\mathrm{lead}\:\mathrm{to}\:\mathrm{serious} \\ $$$$\mathrm{mistake} \\ $$

Commented by mathdave last updated on 25/Aug/20

there is no mistake for the solution  here it goes if u diffentiate that we will hatheve −dy  at y⇒∞,  y_1 ⇒−∞ and at  y⇒−∞,  y_2 ⇒∞  then we have the integral limit has   ∫_(+∞) ^(−∞) ×−dy  the minus sign in front of ( dy) will interchange  the limit integral has ∫_(−∞) ^(+∞) ×dy  that is the  explanation.thank u

$${there}\:{is}\:{no}\:{mistake}\:{for}\:{the}\:{solution} \\ $$$${here}\:{it}\:{goes}\:{if}\:{u}\:{diffentiate}\:{that}\:{we}\:{will}\:{hatheve}\:−{dy} \\ $$$${at}\:{y}\Rightarrow\infty,\:\:{y}_{\mathrm{1}} \Rightarrow−\infty\:{and}\:{at}\:\:{y}\Rightarrow−\infty,\:\:{y}_{\mathrm{2}} \Rightarrow\infty \\ $$$${then}\:{we}\:{have}\:{the}\:{integral}\:{limit}\:{has}\:\:\:\int_{+\infty} ^{−\infty} ×−{dy} \\ $$$${the}\:{minus}\:{sign}\:{in}\:{front}\:{of}\:\left(\:{dy}\right)\:{will}\:{interchange} \\ $$$${the}\:{limit}\:{integral}\:{has}\:\int_{−\infty} ^{+\infty} ×{dy}\:\:{that}\:{is}\:{the} \\ $$$${explanation}.{thank}\:{u} \\ $$

Commented by 1549442205PVT last updated on 26/Aug/20

Excuse me.Sir is right Thank you

$$\mathrm{Excuse}\:\mathrm{me}.\mathrm{Sir}\:\mathrm{is}\:\mathrm{right}\:\mathrm{Thank}\:\mathrm{you} \\ $$

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