MaplePrimes - answers and comments on Question, quadruple Integral

Unbalanced parentheses

Carl Love — Sat, 23 Mar 2013 21:07:57 Z

Your expression for the integrand has unbalanced parentheses. I think you're missing a left parenthesis "(" at the very beginning. Once you repost a correction, I might be able to help you more. But I think that it's unlikely that you will get a symbolic answer.

maple language

Christopher2222 — Sun, 24 Mar 2013 04:42:14 Z

I removed one bracket and got this but until we determine where the missing bracket is no one will go further.

Your other line should also be rewritten to reflect the maple language

hj=int(int(int(int(prod2,x=0..a),y=0..b),alp=d1..d2),bet=k1..k2);

Possibilities

caky123 — Sun, 24 Mar 2013 13:47:15 Z

The missing branch I believe is right at the beginning it should be:

prod2=5/2*(3200/4507... and so on. Sorry for the typo.

Indeed, MATLAB cannot calculate the integral of an exponent including a square root. The reason we have this exponent in the first place is from the kernel function which must be included in the analysis in order to separate different the parts submmittted to the damping effect of the beam, so it cant be excluded.

Since all kernal functions include an exponent with square root I cannot replace by an easier function, I think my only possibility s to simplify the function using a Taylor series and lose degree of accuracy.

Any other suggestions is welll appreciated.

Truthly thankful for the comments.

No answer

Christopher2222 — Mon, 25 Mar 2013 17:41:57 Z

int(exp(sqrt(x^2+5)))

Has no symbolic answer. Numerically I wouldn't know how to approximate it either. I think you are stuck.

a problem

Christopher2222 — Sun, 24 Mar 2013 04:48:45 Z

A problem comes about when you integrate an exponentional of the square root of the variable you're trying to integrate.

int(eq,x=0..a)

mathematica chokes on even simpler

Christopher2222 — Sun, 24 Mar 2013 04:54:34 Z

From the online mathematica integrator, mathematica's engine chokes on the integration of a square root exponentional squared plus a constant

exp(sqrt(5x^2+2))

Mathematica could not find a formula for your integral. Most likely this means that no formula exists.