Let ƒ Be an Integrable Function on [A,b] $\int _ { a } ^ { a } f ( x ) d x = \int _ { b } ^ { b } f ( x ) d x$

Multiple Choice

Let ƒ be an integrable function on [a,b]. Which of the following is not always true?

A) $\int _ { a } ^ { a } f ( x ) d x = \int _ { b } ^ { b } f ( x ) d x$
B) $\int _ { a } ^ { b } k d x = k ( b - a )$
C) $\int _ { a } ^ { b } f ( x ) d x$ is bounded.
D) $\int _ { a } ^ { b } k d x = - k ( a - b )$
E) $2 \int _ { a } ^ { b } f ( x ) d x > \frac { 1 } { 2 } \int _ { a } ^ { b } f ( x ) d x$