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what problem exactly do you have with this integral?

well the I'm actually trying to sketch a region enclosed by given curves

but i think there is something wrong with my integration...so far I have 9y -1/3y^3 -1/2y^2 - y

first off I assume you mean (9 - x^2 - x -1)dx

yes

so then you answer is correct if you replace y's with x's

y = x + 1, y = 9 - x^2, x = -1, x = 2

I am just having issues finding the area

let's just do the integral first, yeah?

ok

I know that I will have to take the integral [f(y) -g(y)] from c to d

I believe that is my problem, understood

so your integral is\[\int\limits_{-1}^{2}9-x^2-x-1dx\]

Alright, I'm so far

19.2

let me try! lol

lol ok

Thank you so much

wait a minute this is all wrong! I should have noticed sooner!

No its correct I just submitted it online and it is marked correct

yes thats correct

I see what you mean, but how is it still correct

Ok, the ah-hah moments in math...such a wonderful subject

Thanks once again

very welcome!