Question

интеграл от 1 до 2 (x^3+3*x^2)/(x+3)

Answer 1

$intlimits^2_1 {frac{x^3+3x^2}{x+3}} , dx = intlimits^2_1 {frac{x^2(x+3)}{x+3} , dx =int_1^2, x^2, dx=frac{x^3}{3}|_1^2=frac{1}{3}cdot (2^3-1^3)=frac{7}{3}$