### Home > APCALC > Chapter 8 > Lesson 8.1.2 > Problem8-22

8-22.

Multiple Choice: If $f$ is continuous for all $x$, which of the following integrals must have the same value?

1. $\int _ { a } ^ { b } f ( x ) d x$

1. $\int _ { a + c } ^ { b + c } f ( x + c ) d x$

1. $\int _ { 0 } ^ { b - a } f ( x + a ) d x$

1. I and II only

1. I and III only

1. II and III only

1. I, II, and III

1. No two necessarily have the same value.

Sketch a graph of I.
Then a transform it according to II. Is there a match?
Try again with III.