Solve Integral Equation: Mathematica Function?

[max&frisky]

Hi

can anybody suggest my how to solve an integral equation of this type
integral(a,b)( c * f(T) dT) ==d

where a,b,c,d are known constants?

Does Mathematica own a dedicated function for solving integral equations?

Thanks

 

[mathman]

Hi

can anybody suggest my how to solve an integral equation of this type
integral(a,b)( c * f(T) dT) ==d

where a,b,c,d are known constants?

Does Mathematica own a dedicated function for solving integral equations?

Thanks

As stated there is no unique solution. For example you could let f(T) be an unknown costant k and you will have an equation c*(b-a)*k=d. Similarly f(T) could be k* T^n and you will have c*(b^(n+1)-a(n+1))*k/(n+1)=d. (n is given arbitrary)