### Home > CALC > Chapter 4 > Lesson 4.2.2 > Problem4-57

4-57.

Mateo and Ignacio want to calculate $\int _ { - 2 } ^ { - 5 } f ( x ) d x$ of an even function $f(x)$. They know $\int _ { 2 } ^ { 5 } f ( x ) d x = - 3$. Mateo thinks the answer will be $-3$ while Ignacio thinks the answer will be $3$. Who is correct? Explain.

Graph a possible even function that has the given area.

The boy who was correct paid attention to two things:
1) The fact that $f(x)$ is even.
2) The order/direction of the bounds.