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

Multiple Choice

Let ƒ be an integrable function on [a,b]. Which of the following is always true?

A) $\int _ { a } ^ { b } f ( x ) d x < \int _ { a } ^ { b } f ( b ) d x$
B) $\int _ { a } ^ { b } f ( x ) d x > \int _ { a } ^ { b } f ( a ) d x$
C) $\int _ { a } ^ { b } f ( x ) d x > \frac { 1 } { 2 } \int _ { a } ^ { b } f ( x ) d x$
D) is a real number. $\int _ { a } ^ { b } f ( x ) d x$
E) $\int _ { a } ^ { b } f ( x ) d x < a f ( b )$