1. a) =3x⁶-x⁵+21x б) =x³+8x+(4/7)sin(7x).
2 a) =0,5x⁴+2x²-3x б) =2x⁴-(7/6)ln(6x)+x².
3. a) x²-6x-7=0 D=64 x₁=7 x₂=-1
S=∫₋₁⁷(0-(x²-6x-7)dx=(7x+3x²-x³/3) I₋₁⁷=
=(49+147-114¹/₃-(-7+3+1/3)=81²/₃+3²/₃=85¹/₃кв.ед..
б) x²+5=-x+7 x²+x-2=0 D=9 x₁-1 x₂=-2
S=∫₋₂¹(-x+7-x²-5)dx=∫₋₂¹(2-x-x²)=(2x-x²/2-x³/3) I₋₂¹=
=2-1/2-1/3-(4-2+8/3)=1¹/₆+3/¹/₃=7/6+10/3=27/6=4,5 кв. ед.