Find the area between the curves 𝑦 = −𝑥 ^2 + 2𝑥 and 𝑦 = 𝑥 − 2 on the interval [0,3].

I seem to be very poor at these in particular ...any advice on how to better them would be helpful

First I set -x^2+2x=x-2

I then did this -X^2+x+2=0

because of the - sign in front of the x^2 I'm having trouble breaking it down ...how ever I wolfram alfa 'd it and the x values become -1 and 2

As it is only looking for the interval between [0 and 3 ]

I then integrated between -1 and 0 giving -13/6

i then integrated between 3 and 0 and got 15/2

or should I integrate between 2 and o giving 2/3

the answer is 31/6 but I can't seem to figure what I must do ....I will practice these types ...hmmm

feel free to unleash your guidance on my faults ...

cheers ...