(1/17+5)/(1/17-3)=(1/17+85/17)/(1/17-51/17)=86/17:(-50/17)=86/17*(-17/50)=
=-86/50= - 1 36/50= - 1 18/25
(5 2/3+5)/(5 2/3-3)=(17/3+15/3)/(17/3-9/3)=32/3:8/3=32/3*3/8=32/8=4
f(x) = x² + 2/x;
F(x) = S(f(x))dx = S(x² + 2/x)dx =
x³/3 + 2*S(1/x)dx = x³/3 + 2*ln(x) + C.
S - знак интеграла .
1. ctg^2(x)=t>=0;
4t^2-5t+1=0;
t1=1; ctg^2(x)=1; ctg(x)=+ -1; x=+-pi/4 +pik
t2=1/4; ctg^2(x)=1/4; ctg(x)= - 1/2; x= pi-acrctg(1/2)+pik;
ctg(x)1/2; x=arcctg(1/2)+pik