MATLAB: Soving integral in MATLAB!!

integral

Let a=0.95, b=0.05 Is there any way to solve the following definite integral from 0 to inf? exp(-x./(a-b.*x))

Either closed form or numerical integration or numerical approximation

Thanks in advance

Best Answer

exp(-x/(a-bx)) for a=0.95 and b=0.05 does not converge to 0 as x -> Inf, but to exp(20). Thus the integral from 0 to Inf cannot exist.

Best wishes

Torsten.

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MATLAB: Soving polynomial equation with negative powers

If the last term is Z * x^(-P), then multiply the equation by x^P, transforming it into

a*x^(P-1) + b*x^(P-2) + c*x^(P-3) + .... Z = 0

then you can use roots()

If you think about this for a second, you can see that you can skip the roots() step if your coefficients are arranged in the right order.

MATLAB: Solving integral equations by integral

When using integral(), you don't need to use sym. Also exp is defined as a function in MATLAB, not a constant. Compare your code with the following code to find the mistakes

a=1.5;
b=0.5;
fun = @(x) (x-b).^2.*exp(-x);
value=integral(fun,0,a)

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