# Integrals (Continued)

• Nov 11th 2007, 10:29 AM
Del
Integrals (Continued)
Let https://webwork.math.lsu.edu/webwork...5ec9c23431.png.

Find https://webwork.math.lsu.edu/webwork...0322279a31.png -7.

and https://webwork.math.lsu.edu/webwork...f12f126991.png ?

I found the first part equal to -7, but I can't figure out the last part, please help!
• Nov 11th 2007, 10:32 AM
topsquark
Quote:

Originally Posted by Del
Let https://webwork.math.lsu.edu/webwork...5ec9c23431.png.

Find https://webwork.math.lsu.edu/webwork...0322279a31.png -7.

and https://webwork.math.lsu.edu/webwork...f12f126991.png ?

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

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

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

Can you finish this?

-Dan
• Nov 11th 2007, 11:24 AM
Del
I still can't find the right answer, I would think it to be 42.
• Nov 11th 2007, 01:42 PM
topsquark
Quote:

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

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

Can you finish this?

-Dan

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

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

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

$= 42 - -12 = 54$

-Dan