How to integrat root of sinxdx????

Question

anonymous · Answer

$$\int\limits_{}^{}\sqrt{\sin(x)}dx$$

akshay_budhkar · Answer

yup how to do it??

anonymous · Answer

by parts

anonymous · Answer

sinx ^3/2 /3/2 . -cosx + c

anonymous · Answer

thats the answer  i suppose

akshay_budhkar · Answer

@jahtoday i tried by parts... fenymam gal nope its not that i suppose.. its a tough 1 i guess

anonymous · Answer

$$\int\limits_{}^{} \sqrt{\sin(x)} = -2 E[ (1/4)*(\pi-2x) | 2 ]$$ E[ x | m ] is the elliptic integral of the second kind here's a good explanation of "E" http://mathworld.wolfram.com/EllipticIntegraloftheSecondKind.html

anonymous · Answer

oh ok 
and diogo explan didnt understand :/

anonymous · Answer

This integral doesn't reduce to familiar functions, but is rather an elliptic integral of the second kind. So, Integral of sqrt(sin x) = -2E((pi-2x)/4 | 2) Elliptic integrals can be found in math references or calculated using programs like Maple.

anonymous · Answer

@ Akshay what math r u in?

anonymous · Answer

Not possible with elementary functions.

akshay_budhkar · Answer

@jahtoday.. I have done my grade 12.. I am going to do engineering ahead.. :)

anonymous · Answer

very nice but i was asking if this was a calc 2 assignment or calc 3 or something? because then we can do different things to answer the question such as what Diogo did