Go back
need help in integration\

need help in integration\

Posers and Puzzles

Vote Up
Vote Down

how do u integrate square root of sinx.

Vote Up
Vote Down

Originally posted by The Avenger
how do u integrate square root of sinx.
so where are all the "smart" guys now, huh?

too busy in other threads telling people what they can and can't post, I imagine.

😞

Vote Up
Vote Down

Originally posted by The Avenger
how do u integrate square root of sinx.
"These integrals do not have closed forms in terms of elementary
functions, but they are reducible to elliptic integrals of the
first and second kinds.

You can find the definition of elliptic integrals in most books."

http://groups.google.co.uk/group/sci.math/msg/3087fcde6ade8786?dmode=source&hl=en

I don't know what that means unfortunately.

1 edit
Vote Up
Vote Down

Originally posted by The Avenger
how do u integrate square root of sinx.
Handy website:

http://integrals.wolfram.com/index.jsp

Vote Up
Vote Down

Originally posted by Suzianne
so where are all the "smart" guys now, huh?

too busy in other threads telling people what they can and can't post, I imagine.

😞
Erm...well you've not exactly given much time for the "smart guys" to answer before writing this.

As already mentioned, that integral won't have a nice answer in terms of elementary functions.

A numerical approximation, on the other hand, is straightforward.

Vote Up
Vote Down

Originally posted by The Avenger
how do u integrate square root of sinx.
The answer is you can't

Vote Up
Vote Down

Originally posted by The Avenger
how do u integrate square root of sinx.
I input (sin x)^.5 and got an answer, its pretty long. At Intregals.wolfram.com

Vote Up
Vote Down

Originally posted by sonhouse
I input (sin x)^.5 and got an answer, its pretty long. At Intregals.wolfram.com
You'd have to use a hypergeometric function which i've never heard of

Vote Up
Vote Down

-((1+sin(x))^(1/2)*(-2*sin(x)+2)^(1/2)*(-sin(x))^(1/2)*(2*EllipticE((1+sin(x))^(1/2), 1/2*2^(1/2))-EllipticF((1+sin(x))^(1/2),1/2*2^(1/2))))/(cos(x)*sin(x)^(1/2))

Simple really.