\( y ^ { \prime \prime } + 5 y ^ { \prime } + 4 y = 3 + 8 x ^ { 2 } + 2 \cos ( 2 x ) \)

14. (Q9, 2,6 ball) Hisoblang: \( \int-7 \sin \left(\frac{1}{4} x+3\right) d x \) (Q9, 2,6 6алла) Вычислите: \( \int-7 \sin \left(\frac{1}{4} x+3\right) d x \).

\( \int _{0}^{\frac{\pi }{2}}\frac{\cos (2x)}{(1+x)^{2}} d x \)

5. (Q5, 2,6 ball) Berilgan funksiyalardan nechtasi \( f(x)=5 x^{4}-4 x^{3} \) funksiyaning boshlangich fur

\( \int _ { - 2 } ^ { 2 } ( x ^ { 3 } \cos \frac { x } { 2 } + \frac { 1 } { 2 } ) \sqrt { 4 - x ^ { 2 } } d x \)

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