\( \left. \begin{array} { c } { \lim _ { n \rightarrow \infty } \sum _ { j = 1 } ^ { n } \frac { 16 } { n } f ( 6 + \frac { 4 j } { n } ) = 5 } \\ { \int _ { 6 } ^ { 10 } f ( x ) d x = \square } \end{array} \right. \)

4) \( \int \frac{3 x-1}{3 x^{2}-2 x} d x= \)

\( 2 = \int \frac { x ^ { 2 } d x } { 4 x ^ { 2 } + 1 } = \)

2) \( \lim _{x \rightarrow 0}\left(\frac{1}{x \sqrt{1+x}}-\frac{1}{x}\right)= \)

Ejercicio 3. Calcular \[ \begin{array}{ll}\text { i) } \int_{1}^{2}(4 x-2) e^{3 x+1} \mathrm{~d} x & \text { ii) } \int \frac{\cos (x)}{\operatorname{sen}(x)-\operatorname{sen}^{3}(x)} \mathrm{d} x\end{array} \quad \text { iii) } \int_{2}^{e} \frac{\sqrt{\ln (x)+2}}{x} \mathrm{~d} x \]

\( y ^ { \prime } ( x ) = \frac { ( u - 3 ) ^ { 2 } } { u ^ { 2 } - 7 u + 10 } \)