\( \int x ^ { 2 } \sqrt { x ^ { 2 } - 6 x } + 9 d x \)

A car's velocity is given by the function \( v(t) = 5t^2 + 3 \). Calculate the distance traveled by the car from time \( t = 0 \) to \( t = 4 \).

Xosmas integrallarni hisoblang yoki uzoqlashuvchi ekanini aniqlang \[ \int_{e^{2}}^{\infty} \frac{d x}{x \ln \ln x} \]

Berilgan qatorlarni absolyut va shartli yaqinlashishga tekshiring. \[ \sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{(n+1) \ln (n+1)} \]

1. \( \lim _{x \rightarrow 2} \frac{x-2}{x^{2}-x-2} \) \begin{tabular}{l|l|l|l|l|l|}\( x \) & 1.9 & 1.99 & 1.999 & 2 & 2.001 \\ \hline\( f(x) \) & 2.01 & 2.1 \\ \hline\end{tabular}

\( \left. \begin{array} { l } { \lim _ { x \rightarrow 0 } \frac { \sqrt { x + 3 } - \sqrt { 3 } } { x } } \\ { x } \\ \hline x ( x ) \\ \hline f | \end{array} \right. \)