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

Posted 9 years ago
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 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}
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Posted 9 years ago
 Thank you ;)
Posted 9 years ago
 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}
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