1
F(x)=3/4*tgx
2
F(x)=√x-x+C
10=3-9+C
C=16
F(x)=√x-x+16
3
1)-1/x|(-1-(-2)=1-1/2=1/2
2)cosx|π-π/2=cosπ-cosπ/2=-1
4
S=S(x²+1)dx=x³/3+x|3-1=9+3-1/3-1=10 2/3
5
sin²x-1/2=(1-cos2x)/2-1/2=1/2-1/2*cos2x-1/2=-1/2*cos2x
S=S(-1/2*cos2x)dx=-1/4sin2x|π-π/4=-1/4sin2π+1/4sonπ/2=1/4
6
x²-5x+4=-5+4x-x²
2x²-9x+9=0
D=81-72=9
x1=(9-3)/4=3/2
x2=(9+3)/4=3
S=S(-2x²+9x-9)dx=-2x³/3+9x²/2-9x|3-3/2=-18+81/2-27+3/4-81/8+27/2=3 3/8
7
s(t)=2t+2√t+2
s(7)-S(2)=14+6-4-4=12