Question

Integrais definidas
Calcular ∫3x2 dx

Answer 1

Use as regras

$\boxed{\int k.f(x) \ \dx=k.\int f(x) \ dx} \\ \\ e\\ \\ \boxed{\int x^n \ dx=\frac{x^{n+1}}{n+1}}$


$\boxed{\int 3x^2 \ dx=3.\frac{x^3}{3}+ C=x^3+C}$

Answer 2

In(3x - 2)dx
w = 3x - 2
dw - 3dx
1/3 In(w) dw
u = In(w) --> du = 1/w dw
dv = dw --> v = w
1/3(w in(w) - w)
Então, nos livrando do w
1/3 (3x - 2) in(3x - 2) - 1/3(3x - 2) => (x - 2/3)(in(3x -2 ) - 1) + C