Question

Help with integration.

Answer 1

\[\int\limits\limits_{0}^{\phi_{0}}d \phi \frac{ 1 }{ \sqrt{\sin^2\frac{ \phi_{0} }{ 2 }-\sin^2 \frac{ \phi }{ 2 } }}\]

Answer 2

In the book the autor used eliptic integrals to solve, but I haven't studied that, is there another way to solve?

Answer 3

i aint studied that either :/

Answer 4

whats the difference between phi0 and the other phi in the radical?

Answer 5

phi0 is given, but if you want to know the physics problem that got to this, is a mathematical pendulum without the restriction for small phi0, and then there is a 2sqrt(L/g) multiplying the integral.

Answer 6

so, phi0 is constant?

Answer 7

yes

Answer 8

may i know where you were dealing with this question? and where does this function generate?

Answer 9

3 posts above I explained the physical situation it appeared, and I found it on Landau's book, Mechanics, on the problems of part 11.

Answer 10

how much time you have ?

Answer 11

this question has been here for 4 days, and I am studying that book on my own, so all the time in the world.

Answer 12

lol, i'l try my best to put up the solution here soon, haven't seen it

Answer 13

thank you, note that I'm not interested in the physical part, since I found another way of doing the same thing, but I'm only troubled by this integral, so its a purely mathematical question.

Answer 14

okay i will keep it in mind but mathematical section would be tough

Answer 15

Any luck there? Because otherwise I'll just study eliptic integrals and close this question.