please solve this equation

[sachin_ccs11]

hello friend
can anybody solve this equaton for me. i will be very thankful to you

regards sameer

 

[biff44]

the answer is 6

 

[sachin_ccs11]

the answer is 6

thank you friend for you kind help i m really thanks but can you please tell me the procedure how did you solve this.

 

[Chinaski]

There is no closed form solution. You have to integrate it numerically.
The function is very smooth between 0 and \pi. so you can use a low order Gaussian quadrature method. But before that, get a basic book on numerical analysis and try to improve your math skills.
BTW the answer is 0.000616871

 

[sachin_ccs11]

thanks in ton dear.actually i dont how to integrate the bessel function of zero order
i tried to solve by using matlab but i got the wrong answer but your answer is absolutely right and i use this equation in future also with diffrent value of W and L, thats why iw as asking for the exact procedure or if you know the matlab equation plz tell me

 

[bantunna]

I worked on this

---------- Post added at 15:36 ---------- Previous post was at 15:35 ----------

I am not so sure of answer I got, though I believe it's very close to original answer

---------- Post added at 15:39 ---------- Previous post was at 15:36 ----------

you can solve using matlab functions quad, i believe. it'll be important for somebody to confirm if this answer is correct. but this is what i did
first create a m-file
function y = myfun(x)
y = 759/400*sin(x).*sin(x).*sin(x).*sin(x).*...
sin(621/500*cos(x)).*sin(621/500*cos(x))./cos(x)./cos(x);

then in command window:
format long g
a = quadl(@myfun,0,pi);
a/(120*pi*pi)

Jo is assumed to be constant, so you'll get
0.00268026689121845*Jo

 

[sachin_ccs11]

I worked on this

---------- Post added at 15:36 ---------- Previous post was at 15:35 ----------

I am not so sure of answer I got, though I believe it's very close to original answer

---------- Post added at 15:39 ---------- Previous post was at 15:36 ----------

you can solve using matlab functions quad, i believe. it'll be important for somebody to confirm if this answer is correct. but this is what i did
first create a m-file
function y = myfun(x)
y = 759/400*sin(x).*sin(x).*sin(x).*sin(x).*...
sin(621/500*cos(x)).*sin(621/500*cos(x))./cos(x)./cos(x);

then in command window:
format long g
a = quadl(@myfun,0,pi);
a/(120*pi*pi)

Jo is assumed to be constant, so you'll get
0.00268026689121845*Jo

thank you friend for making me understan. i have understand everything but in that equation Jo is bessel function not the contast bessel function of 0 order. that also have to be integrate

 

[sachin_ccs11]

hello again
i need help again
i dont know how to make the program for the equations having summation

plz somebody make the program for give equation i will be verythnk ful to you