اعثر على المساحة المحصورة بين المنحنيين \( p(x) = x^4 - 4x^2 \) و \( q(x) = 2x \) عندما يتداخلان عند عدد أكبر من نقطتين.

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

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 \( t = 4 \).

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

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

\( \left. \begin{array} { l l } { y ^ { \prime } - y = 0 } & { y ( 0 ) = 0 } \\ { } & { y ^ { \prime } ( 0 ) = 1 } \\ { } & { y ^ { \prime \prime } ( 0 ) = 0 } \\ { } & { y ^ { \prime \prime } ( 0 ) = 0 } \end{array} \right. \)