Question

помогите решить неопределенный интеграл
   $intlimits xe^3^x^+^2 , dx$

Answer 1

$intlimits {xe^{3x+2}} , dx = intlimits {x} , d(frac{e^{3x+2}}{3})=frac{e^{3x+2}}{3}*x- intlimits {frac{e^{3x+2}}{3}} , dx =\ =frac{e^{3x+2}}{3}*x-frac{1}{3}*frac{1}{3} intlimits {e^{3x+2}} , d(3x+2) =\ =frac{e^{3x+2}}{3}*x-frac{e^{3x+2}}{9}+C=frac{e^{3x+2}}{3}*[x-frac{1}{3}]+C$