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

Multiple Choice

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

A) $\int _ { a } ^ { b } f ( x ) d x > b - a$
B)
$\int _ { a } ^ { b } f ( x ) d x < 2 \int _ { a } ^ { b } f ( x ) d x$
C)
$\int _ { a } ^ { b } f ( x ) d x > \frac { 1 } { 2 } \int _ { a } ^ { b } f ( x ) d x$
D)
$\left[ \int _ { a } ^ { b } f ( x ) d x \right] ^ { 2 } > \int _ { a } ^ { b } f ( x ) d x$
E)
$\int _ { a } ^ { b } f ( x ) d x \leq \left| \int _ { a } ^ { b } f ( x ) d x \right|$