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## Homework Statement

Integrate with an upper bound of 2 and a lower bound of -3

(4-y^2) - (y-2) dy

## Homework Equations

## The Attempt at a Solution

The books answer is 125/6 I have tried twice and got 29.5/3 and 6 : /

This will be my second time taking calculus 2 and I always have a hard time getting back into the zone of differentiation and integration.

I first simplified the equation into upper bound of 2 lower bound of -3 6-y^2-y dy

Then I integrated it piece by piece.

6 turns into 6y,

-y^2 turns into -y^3 /3

-y turns into -y^2/2

Then I plug in 2 for all the y's to give me A

Then I plug in -3 for all the y's to give me B

Then I do A-B (Upper bound plugged in minus lower bound plugged in) and I get 29.5/3

What am I doing wrong?

Thanks

-Dave