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i am solving for a system of df eq's, but the eq's have these little tricky integrals inside them.....so it either retards operation or no solutoin can be found...They look like...

B_12:=(10*a_2*a_3)*(u/( ((10^2+u)^(3/2)) * ((a_2^2+u)^(3/2)) * ((a_3^2+u)) )):

B_122:=(10*a_2*a_3)*(u/( ((10^2+u)^(3/2)) * ((a_2^2+u)^(5/2)) * ((a_3^2+u)) )):

B_123:=(10*a_2*a_3)*(u/( ((10^2+u)^(3/2)) * ((a_2^2+u)^(3/2)) * ((a_3^2+u)^(3/2)) )):

B_23:=(10*a_2*a_3...

I would like to see all the solutions for the following:

int(1/(a-(b+c)*t),t);

but the result only gives

(ln((-b-c)*t+a)/(-b-c)

For example, I can imagine that if b=-c in the integrand that the solution should be

t/a

and not undefined as it would be by substituting b=-c into the Maple result.

I tried

int(1/(a-(b+c)*x),x=0..t,AllSolutions);

but I didn't find that this gave the answer I was looking for either.

Hi,

I was wondering if anyone has suggestions how to get answer to this integral?

I know how to do a discrete approximation, but I am looking for the closed form.

c>0. n is an integer>0. If someone knows how to do specific values of n, that would be interesting too!

Also, replacing the Chebyshev function by a monomial in x (i.e. x^n) would be equivalent.

Thanks.

I hope someone can help me.

I'm trying to integrate the following equation:

sin(v))*sqrt(cos(t)^2+4*sin(v)*sin(t)*cos(v)*cos(t)*sin(w)+4*cos(v)^2-cos(w)^2*cos(t)^2+cos(t)^2*cos(v)^2*cos(w)^2-5*cos(t)^2*cos(v)^2)

The boundaries are
v=0..1/2*Pi
w=0..2*Pi

I've tried evalf and simplify, but none of those worked. Does someone know how to solve this one?

Hi everyone,

Is it possible to perform an integral over vector without writing a multiple integral over each component?

I am integrating over a vector of dimension 12, so I am trying to find another way to calculate rather than writing 12 integrals.

Thanks

Hi experts,

I would like to ask what is the defult method's name for the numerical integration?

Thanks,

Hi,

I have a 1x3 matrix, with s0,s1,s2 terms in it. For example :
[(s-s1)*(s-s2). (s-s0)*(s-s2), (s-s0)*(s-s1)]

Is there a simple way that i can integrate the first one by s, second one by s0 and third one by s1?

to get a matrix for example:

[(int((s-s1)*(s-s2),s). int((s-s0)*(s-s2),s0), int((s-s0)*(s-s1),s1)]

Please advice,

Thanks.

Hi, was wondering if there is a way that i can integrate each element in my matrix?

N0:=zeta->Matrix([[-2*(1-zeta)*(zera-1/2)],[4*zeta*(1-zeta)],[(2*zeta)*(zeta-1/2)]])^%T   ###1x3 matrix

N1:=zeta->N0(zeta)^%T ###3x1 matrix

dot product of N0 and N1 is a 3x3 matrix

Can in integrate the 3x3 matrix? each of the element by zeta from 0 to 1.

Please advice. Many thanks. =D

Hi All,

Thanks for checking out this question. I am working a semi-strange integral and am having trouble getting Maple to evaluate it:

I am getting the response:

"Warning, unable to determine if 464/19 is between 6 and x; try to use assumptions or use the AllSolutions option"

I'm...

We are trying to obtain an analytical solution of an integral in Maple. When solved numerically the integral converges, but we are not able to get an analytical solution. Any ideas?

The constants in the integral is computed independently, not sure if knowing them can help. The values are r=0.06, kappa=2.6, myksi=2.18, rho=-0.21, stdk=382.2, stds=47.8, kji=52.9 and ksi=62.3. We kind of need the analytical solution to handle the expression in further calculations, and...

I expected

int(x^(-13/10), x):
eval(%,x=1000)-eval(%,x=1/1000);

but i get

int(x^(-13/10), x=1/1000..1000);

Hi,

Does any body know how one could calculate such an integration:

Int(expression, 1/x)

Thank You!

powermetal114

hi all,

To create an observability grammian I have to integrate a matrix with some equations that are difficult to integrate due to multiple time dependent variables. The simplest expression in the matrix is:

z₁^2 * sin( z₅ * t)^2          (1)

where z1 and z5 are from a state space model with 5 states and are given by:

z₁dot = z_{2     ...}