Question

Să se determine functiile $f: D \rightarrow R$, care au primitive de forma:

a) $F(x)=x\left(\ln ^{2} x-\ln x^{2}+1\right)$, $\mathbf{x} \in(\mathbf{0},+\infty)$

b) $F(x)=e^{x+1}\left(x^{2}-4 x\right), x \in \mathbb{R}$

c) $F(x)=2 x \sin x+2 \cos x-x^{2}$, $\mathbf{x} \in \mathbf{R}$;

d) $F(x)=\frac{x}{2} \sqrt{9-x^{2}}+\frac{9}{2} \arcsin \frac{x}{3}$, $\mathbf{x} \in(-\mathbf{3}, \mathbf{3})$

Answer 1

Răspuns:

Explicație pas cu pas: