1
1)sinx|π/2-0=sinπ/2-sin0=1-0=1
2)tgx|π/4-0=tgπ/4-tg0=1-0=1
3)6sin(x/2)|π-0=6sinπ/2-6sin0=6*1-6*0=6
4)-1/2*cos2x|π/2-π/4=-1/2*cosπ+1/2cosπ/2=-1/2*(-1)+1/2*0=1/2
2
1)-cosx|π/3-0=-cosπ/3+cos0=-1/2+1=1/2
2√x|1/4-1/16=2*1/2-2*1/4=1-1/2=1/2
1/2=1/2
2)x²+x|1-0=1+1=2
x^4/4-x|2-0=4-2=2
2=2
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1
1)F(x)=x^5-x³-3x+c
2=1-1-3+c
c=5
F(x)=x^5-x³-3x+5
2)F(x)=-3√x+x³+c
2=-3+1+c
c=4
F(x)=-3√x+x³+4
3)F(x)=sin(x/3)+cos(x/2)+c
√3/2=sinπ/3+cosπ/2+c
√3/2=√3/2+0+c
c=0
F(x)=sin(x/3)+cos(x/2)
4)F(x)=-x³/3-1/x²+c
-2=-1/3-1+c
c=-2/3
F(x)=-x³/3-1/x²-2/3
2
