Question

∫(x^3 - 2)^1/7 x^2 dx​

Answer 1

Resposta:

∫(x³ - 2)^(1/7) *  x²  dx

u=x³-2x ==> du=3x² dx  ==> dx=du/3x²

(1/3)* ∫(u)^(1/7)  du

(1/3)* [ u^(1/7+1) / (1/7+1)]  + constante

(1/3)* [ u^(8/7) / (8/7)]  + constante

(7/240 * [ u^(8/7) ]  + constante

Como u=x³+2 , ficamos com:

(7/240 * [ (x³-2x)^(8/7) ]  + constante