a) ∫(-1)^1*(x^2+1)dx=∫-(x^2+1)dx=-∫x^2dx -∫dx = -x^3/3 -x +c
б) ∫(-2)^2(2x-1)^2dx=∫4*(2x-1)^2dx=∫4*(4x^2-4x+1)dx=
=16∫x^2dx -16∫xdx+4∫dx=16x^3/3 -16x^2/2 +4x +c=
= (16/3)*x^3 -8x^2+4x+c
a) ∫(-1)^1*(x^2+1)dx=∫-(x^2+1)dx=-∫x^2dx -∫dx = -x^3/3 -x +c
б) ∫(-2)^2(2x-1)^2dx=∫4*(2x-1)^2dx=∫4*(4x^2-4x+1)dx=
=16∫x^2dx -16∫xdx+4∫dx=16x^3/3 -16x^2/2 +4x +c=
= (16/3)*x^3 -8x^2+4x+c