Question

qual é a função f,cuja a derivada é dada porf(x)=6x^2-4x-3 e f(0)=5?​

Answer 1

$\boxed{\boxed{\mathsf{ \int \:f(x)dx= F(x)+c}}}$

$\boxed{\boxed{\mathsf{ \int[6 {x}^{2} - 4x - 3]}dx}} \\ = \boxed{\boxed{\mathsf{2 {x}^{3 } - 2 {x}^{2} - 3x + c}}}$

$F(x)=2{x}^{3}-2{x}^{2}-3x+c \\ F(0)=5 \\ F(0)=2.{0}^{3}-2.{0}^{2}-3.0+c \\ c = 5$

$\boxed{\boxed{\mathsf{F(x)=2{x}^{3}-2{x}^{2}-3x+5}}}$