Question

интеграл ∫(x+3)^2dx срочноо

Answer 1

$int{(x+3)^2}dx=int{(x+3)^2}d(x+3)=left|x+3=t; d(x+3)=dtright|=\ =int{t^2}dt=frac{1}{2+1}cdot t^{2+1}+C=frac13t^3+C=frac13(x+3)^3+C=frac{(x+3)^3}{3}+C.$