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Question: why maple can not solve this integral?

Question:why maple can not solve this integral?

ehsanfazayeli 0
hyperbolic int
July 14 2014
0

my int is in below.

my_int.mw

my int has hyperbolic and trigonal parts thus when they are multiplied , Maple is not able to integrate!

 

Now, How can I solve this integral?

thank you for help

my int is:

 

``

> 

restart
> 

eq1 := m*(diff(diff(w(x, t), t), t))+diff(diff(EIy*(diff(diff(w(x, t), x), x))+(EIz-EIy)*(diff(diff(w(x, t), x), x))*(theta(x)+phi(x, t))^2, x), x)-Pz = 0
> 

l := 16; m := .75; EIy := 0.2e5; EIz := 0.400e7; GJ := 0.1e5; mj := .1; Pz := 5000; Mz := 0; theta := proc (x) options operator, arrow; 0 end proc
> 

w := proc (x, t) options operator, arrow; q[1](t)*(cosh(1.8751*x/l)-cos(1.8751*x/l)+(-1)*.734096*(sinh(1.8751*x/l)-sin(1.8751*x/l)))+q[2](t)*(cosh(4.6941*x/l)-cos(4.6941*x/l)+(-1)*1.01847*(sinh(4.6941*x/l)-sin(4.6941*x/l)))+q[3](t)*(cosh(7.8548*x/l)-cos(7.8548*x/l)+(-1)*.999224*(sinh(7.8548*x/l)-sin(7.8548*x/l))) end proc
> 

phi := proc (x, t) options operator, arrow; q[4](t)*sqrt(2)*sin(1.5708*x/l)+q[5](t)*sqrt(2)*sin(4.7124*x/l)+q[6](t)*sqrt(2)*sin(7.8540*x/l) end proc
> 

NULL
> 

f[1] := int(lhs(eq1)*(cosh(1.8751*x/l)-cos(1.8751*x/l)-.734096*(sinh(1.8751*x/l)-sin(1.8751*x/l))), x = 0 .. l)
> 

``
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