Find intersection of two functions f(x)=g(x)

Questions
1

Hi, I have to find when two functions intersect each other. How to find it for the x from 0 to infinity ?

f(x)={int 0.0588*t^(3.1)*exp{?0.8 t}dt from 0 to x};g(x)= {int 0.05181*t^(3.45)*exp{?0.87866 t}dt from 0 to x}f(x)={int 0.0588*t^(3.1)*exp{?0.8 t}dt from 0 to x};g(x)= {int 0.05181*t^(3.45)*exp{?0.87866 t}dt from 0 to x}
2 
In[1]:= f[x] = \!\(
\*SubsuperscriptBox[\(\[Integral]\), \(0\), \(x\)]\(0.0588*
   t^\((3.1)\)*Exp[\(\[Minus]0.8\)\ t] \[DifferentialD]t\)\)


Out[1]= 1.00005 - 0.146794 Gamma[4.1, 0.8 x]


In[2]:= g[x] = \!\(
\*SubsuperscriptBox[\(\[Integral]\), \(0\), \(x\)]\(0.05181*
   t^\((3.45)\)*Exp[\(\[Minus]0.87866\)\ t] \[DifferentialD]t\)\)


Out[2]= 1.00007 - 0.0921321 Gamma[4.45, 0.87866 x]


In[3]:= FindRoot[f[x] == g[x], {x, 3}]


Out[3]= {x -> 4.18645}
3

Thank you :wink: