Question

radical de ordin 3 din (3x+1)la a doua dx , x apartine R , utilizand metoda schimbarii de variabila .

Answer 1

Răspuns:

∫∛(3x+1)²dx

3x+1=u 3dx=du

dx=du/3

1/3∫∛(u)²du=

1/3∫u^2/3du=

1/3u^(2/3+1)/(2/3+1)+c=

1/3u^5/3/(5/3)+c=

3/3u^(5/3)/5+c= revii la vatiabila x

I=3x+1)^5/3+c

Explicație pas cu pas: