Question
True or false:
If f(x) is continuous on the interval [a,b] & if the definite integral of f(x) over this interval has value zero, then the equation f(x)=0 has at least one solution in the interval [a,b].
True or false:
If f(x) is continuous everywhere and F(x)= int from 0 to x of f(t)dt then the equation F(x)=0 has at least one solution.
If f(x) is continuous on the interval [a,b] & if the definite integral of f(x) over this interval has value zero, then the equation f(x)=0 has at least one solution in the interval [a,b].
True or false:
If f(x) is continuous everywhere and F(x)= int from 0 to x of f(t)dt then the equation F(x)=0 has at least one solution.