\( \int _ { 5 + 5 - 10 } ^ { \infty } \frac { 10 \sin ( x ) } { 2 x } d x = \)

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

Q3, 2,6 ball) Moddiy nuqta \( s(t)=-\frac{t^{5}}{5}+12 t^{2} \) qonuniya bilan harakatlanmoqda \( (s(t) \) metrda, t sekundda o'lchana \( t_{0}=2 \) sekunddagi oniy tezligi qiymatini toping.

Given the curves \( y = x^{2} \) and \( y = 4 - x^{2} \), find the area between these two curves.

16. (M1; 3 ball) Berilgan \( f(x)=6 x-3 \) uchun shunday boshlang'ich funksiyasini topingki, bu boshlang'ich funksiyaning grafigi \( y=5 \) to'g'ri chiziq bilan faqat bitta umumiy nuqtaga ega bo'Isin.

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