Question

How to integrate square root of sin(x)? indefinitely.

Answer 1

hmm

Answer 2

have u tried complexifying the function

Answer 3

yes but its not working.

Answer 4

@ganeshie8

Answer 5

\[\int\limits_{}^{} \sqrt{\sin(xdx)} \]

Answer 6

assume somthing lol mmm

Answer 7

cannot be integrated using standard mathematical functions

Answer 8

this must be a descret function as we require a continuous function to integrate indefinitely.

Answer 9

does contour work ?

Answer 10

convert it to complec then find residues at poles ?

Answer 11

http://www.enotes.com/homework-help/integration-sqrt-sin-x-346600

Answer 12

ok
\(\large \sin \theta =\dfrac{ z+\dfrac{ 1}{ z}}{ 2} \)
mmm well that should work :D

Answer 13

typo its negative

Answer 14

ok nw its correct ^^
\(\large \sin \theta =\dfrac{ z-\dfrac{ 1}{ z}}{ 2i}\)

Answer 15

so find \(d \theta \)
@dan815 you know this u should coplete it from here

Answer 16

tomorrow we are doing DE okay!! dont forget ikramoooo♥

Answer 17

ok i assumed u have theta not x lol
so\(d\theta = dz/iz\)

Answer 18

haha dan its tomorow for me lol
14 of july

Answer 19

ok me tooo buts its not official till i sleep

Answer 20

*sigh*
i have to wake up even thought i dint sleep -.-

Answer 21

i think the Qs been solved nw lol
i gave you a hint the rest is some calculation

Answer 22

Mhm not exactly sure about this one, it's not elementary.

http://www.wolframalpha.com/input/?i=integrate+squareroot%28sinx%29+dx

Answer 23

i dnt feel like to continue it lol xD

Answer 24

thanks

Answer 25

dnt forget to find residues u can use tylor seires to get that
also when u finish if u have i in ur solution then its wrong repeat it lol

Answer 26

i was wrong

Answer 27

:O u should get some pi when u recall residus :3
contour stuff lolz my brain is died to solve it
you know how to find residues ?
or u dint take complex integral yet ?

Answer 28

i dint

Answer 29

ic mmm well idk
@dan815 how to solve it with real integral ?
add and sub 1 ?