Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.2 Exercises - Page 336: 106

$\text{False}$

This seems to be an application of the Fundamental Theorem of Calculus, but there is a flaw... The theorem requests that the integrand function be CONTINUOUS on the interval [a,b]. Here, the function $f(x)=\displaystyle \frac{1}{x}$ , at x=0$\in[-1,2]$ has a discontinuity, which is not removable. The theorem does not apply. The statement is false.