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sin-x-dx-




Question Number 43981 by Necxx last updated on 19/Sep/18
∫(√(sin x)) dx
$$\int\sqrt{\mathrm{sin}\:{x}}\:{dx} \\ $$
Commented by MJS last updated on 19/Sep/18
see question 42945  you′ll have to scroll down a while, Sir Tanmay  has found a way and I also added some useful  comments
$$\mathrm{see}\:\mathrm{question}\:\mathrm{42945} \\ $$$$\mathrm{you}'\mathrm{ll}\:\mathrm{have}\:\mathrm{to}\:\mathrm{scroll}\:\mathrm{down}\:\mathrm{a}\:\mathrm{while},\:\mathrm{Sir}\:\mathrm{Tanmay} \\ $$$$\mathrm{has}\:\mathrm{found}\:\mathrm{a}\:\mathrm{way}\:\mathrm{and}\:\mathrm{I}\:\mathrm{also}\:\mathrm{added}\:\mathrm{some}\:\mathrm{useful} \\ $$$$\mathrm{comments} \\ $$
Commented by Necxx last updated on 19/Sep/18
no wondered it cannot be analysed  with elementary methods
$${no}\:{wondered}\:{it}\:{cannot}\:{be}\:{analysed} \\ $$$${with}\:{elementary}\:{methods} \\ $$
Commented by MJS last updated on 19/Sep/18
for certain reasons I spent about 25 years  trying to solve it with elementary methods  and believe me, no substitution is left untried...
$$\mathrm{for}\:\mathrm{certain}\:\mathrm{reasons}\:\mathrm{I}\:\mathrm{spent}\:\mathrm{about}\:\mathrm{25}\:\mathrm{years} \\ $$$$\mathrm{trying}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{it}\:\mathrm{with}\:\mathrm{elementary}\:\mathrm{methods} \\ $$$$\mathrm{and}\:\mathrm{believe}\:\mathrm{me},\:\mathrm{no}\:\mathrm{substitution}\:\mathrm{is}\:\mathrm{left}\:\mathrm{untried}… \\ $$
Commented by Necxx last updated on 19/Sep/18
wow...Really
$${wow}…{Really}\: \\ $$

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