A1
a)-1/2x²|8-1=-1/128+1/2=(-1+64)/128=63/128
b)1/3*sin3x|0-(-3π)=1/3(sin0+sin9π)1/3(0+0)=0
A2
-x²+2x+3=0
x²-2x-3=0
x1+x2=2 U x1*x2=-3⇒x1=-1 U x2=3
S=S(-x²+2x+3)dx=-x³/3+x²+3x|3-(-1)=-9+9+9-1/3-1+3=12-1 1/3=10 2/3
B1
2sin(x/2)=0
sin(x/2)=0
x/2=πn,n∈z
x=2πn,n∈z
0≤2πn≤2π
0≤n≤1
n=0⇒x1=0
n=1⇒x2=2π
S=S(2sinx/2dx=-4cos(x/2)\2π-0=-4(cosπ-cos0)=-4(-1-1)=8