Question

qual o valor da integral definida 2F0 6x+2dx

Answer 1

F(x) = $\int\limits^2_0 {6x + 2} \, dx$


Integrando:

F(x) = $\frac{6x^2}{2} + 2x \ ]^2_0$

F(x) = $3x^2 + 2x \ ]^2_0$

F(x) = (3.(2)² + 2.(2)) - (3.(0)² + 2.(0))

F(x) = (3.4 + 4) - (3.0 + 0)

F(x) = (12 + 4) - (0 + 0)

F(x) = 16