dx 5

Ответ от 22X[новичек]
1. S((3*x-2)*cos(5*x)*dx) = |u = 3*x-2, dv = cos(5*x)*dx, du = 3*dx, v = -1/5*sin(5*x)| = (3*x-2)*(-1/5*sin(5*x))+3/5*S(sin(5*x)dx) = (3*x-2)*(-5*sin(5*x))+3/25*cos(5*x). 2. S((4*arctg(x)-x))/(1+x^2)*dx) = 4*S(arctg(x)/(1+x^2)*dx)-S(x/(1+x^2)*dx)=4*S(arctg(x)*d(arctg(x))-S(d(x^2+1)/(1+x^2))=2*arctg^2(x) -ln|x^2+1|. 3. S(3*x^5-12*x^3-7*x^2+2*x)*dx = 1/2*x^6-3*x^4-7/3*x^3+x^2.