Can someone please check my answer ....

Question

anonymous · Answer

attachment

phi · Answer

you can break the 2nd integral into 2 parts:
$$\int\limits_{-2}^{4}(f(x)+8) dx=\int\limits_{-2}^{4}f(x) dx + \int\limits_{-2}^{4}8 \ dx$$

phi · Answer

They tell you what the first integral is.
however, you must do the integration on the second one.

anonymous · Answer

right but don't you just do 8+5=13 and that is your answer

phi · Answer

as you remember from the previous question, you can "pull out" the 8.
so you need to figure out
$$ 8 \int_{-2}^4 dx $$
can you do that ?

anonymous · Answer

yup give me a minute

anonymous · Answer

I get 0

phi · Answer

how ?

anonymous · Answer

I think I am doing it wrong what did you get?

phi · Answer

the integral of dx  is x
can you finish ?

anonymous · Answer

6

phi · Answer

and don't forget the 8 out front

anonymous · Answer

48

phi · Answer

now add in the first integral which they tell you is 5

anonymous · Answer

53 is my final answer then?

phi · Answer

yes.  Do you see how to do this?  when you got 13, you were thinking something wrong (like the 8 was not inside the integral)

The important thing is get your thinking straight.

anonymous · Answer

yup got it