1. ## Integrals (Continued)

Let .

Find -7.

and ?

I found the first part equal to -7, but I can't figure out the last part, please help!

2. Originally Posted by Del
Let .

Find -7.

and ?

I found the first part equal to -7, but I can't figure out the last part, please help!
$\displaystyle \int_{-3}^{-4.5} ( 6f(x) - 8 )~dx = \int_{-3}^{-4.5} 6f(x)~dx + \int_{-3}^{-4.5}(- 8 )~dx$

$\displaystyle = 6 \int_{-3}^{-4.5} f(x)~dx - \int_{-3}^{-4.5} 8 ~dx$

Can you finish this?

-Dan

3. I still can't find the right answer, I would think it to be 42.

4. Originally Posted by topsquark
$\displaystyle \int_{-3}^{-4.5} ( 6f(x) - 8 )~dx = \int_{-3}^{-4.5} 6f(x)~dx + \int_{-3}^{-4.5}(- 8 )~dx$

$\displaystyle = 6 \int_{-3}^{-4.5} f(x)~dx - \int_{-3}^{-4.5} 8 ~dx$

Can you finish this?

-Dan
$\displaystyle = 6 \int_{-3}^{-4.5} f(x)~dx - \int_{-3}^{-4.5} 8 ~dx$

$\displaystyle = 6 \cdot -(-7) - 8 \int_{-3}^{-4.5} dx$

$\displaystyle = 6 \cdot -(-7) - (-36 - -24)$

$\displaystyle = 42 - -12 = 54$

-Dan