\( L [ \sin 2 t \cdot \cos t \cdot \cosh 2 t ] \)

19. Find critical points of \( f(x, y, z)=x y+y z \) with constraints \( x^{2}+y^{2}=8 \) dan \( y z=8 \)

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 \( t = 4 \).

2. Hitung nilai integral berikut dengan batas-batas yang diberikan: \[ \int_{1}^{3}\left(2 x^{3}-4 x^{2}+x\right) d x \]

1. Hitung Integral tak tentu berikut ! \[ \int\left(3 x^{2}-5 x+2\right) d x \]

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