Match the letters to the numbers please. Put it down below the comments and please do not put any links please. This is for an e
xam and i need help. Thank you
1 answer:
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Answer:
Explanation:
Alright so the way to do this is to use properties of integrals to make our life easier.
So we have:
So lets break this up into two different integrals that represent the same area.
Lets think about what is going on up there. The integral from four to zero gives us the area under the curve of f(x) from four to zero. If we subtract this from the integral from one to zero (the area under f from one to zero) we are left with the area under f from four to one! Hence:
But since we have these values we can say that:
-3 - 2 = -5
Which means that = -5
So now we can evaluate
Lets first break up our integrand into two integrals
=
Now we can evaluate this:
We know that = -5
So:
where x is evaluated at 4 to 1 so
-15 + 2(3)
So we are left with -15 + 6 = -9