a) \( \iint_{\boldsymbol{R}}(\mathbf{5}-\boldsymbol{x}-\mathbf{2 y}) \boldsymbol{d} x \boldsymbol{d y} \) b) \( \iint_{\boldsymbol{R}}(\mathbf{5}-\boldsymbol{x}-\mathbf{2 y}) \boldsymbol{d y} \boldsymbol{d x} \) \[ R=\{(x, y) \mid 1 \leq x \leq 2,0 \leq y \leq 3\} \]

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

4. Tentukan volume benda putar yang dihasilkan dengan memutar daerah yang dibatasi oleh \( y=x^{2} \) dan \( y=4 \) terhadap sumbu x .

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.

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

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