If f(x)>0 for all xElement-ofsymbol [a,b], then(adsbygoogle = window.adsbygoogle || []).push({});

b

Integral sign f>0

a

a) Give an example where f(x)>0 for all xElement-ofsymbol [a,b], and f(x)>0 for some xElement-ofsymbol [a,b], and

b

Integral sign f=0

a

b) Suppose that f(x)>0 for all xElement-of symbol[a,b] and f is continous on at x0 in [a,b] and f(x0)>0. Prove that

b

Integral sign f>0

a

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Complex Proof

**Physics Forums | Science Articles, Homework Help, Discussion**