Question

Va rog frumos dati-mi o mana de ajutor , dau funda si stelute , multumesc anticipat ! <3

$\int\limits \, \sqrt{ x^{2} +1} dx$

Answer 1

Răspuns:

Explicație pas cu pas:

Answer 2

int rad x^2+1 dx
int sec t^3 dt
1/2 * sec t tan t + 1/2*int sec t dt
1/2 * sec (t) tan (t) + 1/2 * ln(|sec(t)+tan(t)|)=
1/2* sec (arctan(x))tan)(arctan(x))+1/2ln (|sec(arctan(x))+tan (arctan(x))|)
rad 1+x^2x/2+1/2*ln(|rad1+x^2|)
rad 1+x^2x/2 +1/2*ln(|rad1+x^2|)+C € |R