¿Qué opción es el resultado de la siguiente integral? \[ \int_{0}^{2}\left(x^{3}+x^{2}+x\right) d x \] \( \begin{array}{l}\text { a. } \quad F(x)=14 / 3 \\ \text { b. } \quad F(x)=-2 / 3 \\ \text { c. } \quad F(x)=26 / 3 \\ \text { d. } \quad F(x)=10 / 3\end{array} \)

If the slope of the tangent to the curve: \( y=f(x) \) at any point on it equals \( 6 x+a \), whe \( a \) is constant if the equation of the tangent to the curve at the point \( (1,-1) \) is \( y=4- \) \( 5 x \), then the equation of the curve is ... \( \begin{array}{llll}\text { a) } y=3 x^{2}-4 & \text { b) } y=3 x^{2}-11 x+7 & \text { c) } y=3 x^{2}-4 x & \text { d) } y=3 x^{2}-x-3\end{array} \)

3. \( \lim _{x \rightarrow \infty} \frac{x-1}{2 x+5} \)

3. \( \lim _{x \rightarrow \infty} \frac{x-1}{2 x+5} \)

nction définie par \( f(x)=\frac{L}{x^{2}+1} \)

3. \( \lim _{x \rightarrow \infty} \frac{x-1}{2 x+5} \)