- #1
iceman
Hi, I really need some help in sovling this proof!
Prove the Cauchy Mean Value Theorem:
If f,g : [a,b]->R satisfy f continuous, g integrable and
g(x)>=0 for all x then there exists element c is a member of set [a,b] so that
int(x=b,a)f(x)g(x)dx=f(c)int(x=b,a)g(x)dx.
Thanks for your help :D
Prove the Cauchy Mean Value Theorem:
If f,g : [a,b]->R satisfy f continuous, g integrable and
g(x)>=0 for all x then there exists element c is a member of set [a,b] so that
int(x=b,a)f(x)g(x)dx=f(c)int(x=b,a)g(x)dx.
Thanks for your help :D