Question

Determinati primitiva F a functiei f:R→R daca : f(x)=x , F(0)=5 .

Answer 1

Salut,

$\int x dx=\int x^1 dx=\dfrac{x^{1+1}}{1+1}+C=\dfrac{x^2}2+C.\\\\F(x)=\dfrac{x^2}2+C.$

F(0)=0²/2 + C = C, dar F(0) = 5, deci C = 5. La final:

$F(x)=\dfrac{x^2}2+5.$

Ai înțeles ?

Green eyes.