2. \( \int_{2}^{2}\left(5 x^{2}+3 x+5\right) \cdot d x=\left({ }_{2}^{3}\left(5 x^{2}+8 x+5\right) d x\right. \) 3. \( \int_{2}^{3}\left(x^{3}+9\right) \cdot d x= \)

(c) \( \int_{6}^{0}(2+5 x) e^{\frac{1}{3} x} d x \)

Calcule \( \int \frac{x^{4} - 5x^{2} + 6}{x-2} \,dx \) aplicando o método de divisão longa.

\( \lim _ { x \rightarrow 0 } \frac { 3 ( x - \operatorname { cts } x ) } { x } \)

\( f ( x ) = \left\{ \begin{array} { l l } { \sin x } & { ; x < r } \\ { m x + b ; } & { x \geq r } \end{array} \right. \)

By using Newton-Raphson Method, determine the root for \( x^{3}+2 x^{2}-1=0 \). Given \( x_{0}=0.5 \). Give the answer correct to four decimal places. Dengan mengomenan