Integrate with an upper bound of 2 and a lower bound of -3
(4-y^2) - (y-2) dy
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?