### Home > APCALC > Chapter 8 > Lesson 8.2.2 > Problem8-81

8-81.

Given the following information about $f (x)$, evaluate each integral.

$\int _ { a } ^ { b } f ( x ) d x = 2.5$

$\int _ { b } ^ { c } f ( x ) d x = - 5.0$

$\int _ { c } ^ { d } f ( x ) d x = 1.5$

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

$-\left ( \int_{a}^{b}f(x)dx+\int_{b}^{c}f(x)dx \right )$

1. $\int _ { a } ^ { c } 2 f ( x ) d x$

See the hint (a) and adjust the coefficient.

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

See the hint in part (a).

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

Look at the bounds of integration.