\( y _ { 1 } = ( x ^ { 3 } + x - 1 ) ^ { 5 } \)

\( f ( x ) = \int e ^ { 58379 } d x \)

Find the limit value for the following function: \[ \lim _{n \rightarrow \infty} \frac{\sqrt{n}}{\sqrt{3 n-1}} \]

Find the value of integration for the following function أوجد قيمة التكامل للدالة التالية: \( f(x)=\int\left(e^{x}+3 x^{2}+2 x\right) d x \)

47. (99-4 32) \( y=\pi \sin \pi x+2 x-4 \) funksiyaning \( x= \) 1 bo'ganda giymati 3 ga teng bo'ladigan bosh- lang'ich funksiynsi \( x \) ning qanday qiymatida nolga aylanadi? \( \begin{array}{llll}\text { A) } 0 & \text { B) } 1 & \text { C) } 0,5 & \text { D) } 2 \\ \text { E) }-2\end{array} \)

Check whether the differential equation: Is Exact or not? If yes, \( \frac{\text { find }}{\left(6 x^{2}+4 x y+y^{2}\right) d x+\left(2 x^{2}+2 x y-3 y^{2}\right) d y=0} \).