Question

(13)найти первообразную функции f(x)=3x^2+2x+1

Answer 1

F(x)=3x²+2x+1
F(x)=3*x²⁺¹/(2+1)+2*x¹⁺¹/(1+1)+1*x+C=3x³/3+2x²/2+x+C=x³+x²+x+C

Answer 2

$f(x)=3x^2+2x+1\\\\F(x)=\int (3x^2+2x+1)dx=3\cdot \frac{x^3}{3}+2\cdot \frac{x^2}{2}+x+C=x^3+x^2+x+C$