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كويز تفاعلي: 16 Questions: Grade 12 Advanced Mathematics الهيكل مع الاجابات

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رقم الاختبار 1779
الصف الصف الثاني عشر المتقدم
المادة رياضيات
الفصل الفصل الثالث
السنة الدراسية 2025/2026
عدد الأسئلة 16
إجمالي النقاط 64
تاريخ الإضافة 2026-06-10
الزيارات 290
المعلم Ahmed Mostafa Shaheen
الناشر Amal Salman
يرجى الانتباه إلى أن المعلم قام بإعداد الأسئلة فقط، ولم يقم بإعداد الإجابات أو الشروحات المرفقة. وقد تم توليد الإجابات باستخدام تقنيات الذكاء الاصطناعي، لذلك قد تتضمن بعض الأخطاء أو عدم الدقة.
للحصول على الإجابات الصحيحة والمضمونة، يُرجى الرجوع إلى المعلم أو المصدر الدراسي المعتمد.
Question 1
DB question no.: 1
Points: 4
\(Find the general antiderivative ∫(2 \sin x + \cos x) dx.\)
Question 2
DB question no.: 2
Points: 4
\(Find the general antiderivative ∫(3 \cos x - \sin x) dx.\)
Question 3
DB question no.: 3
Points: 4
Find the general antiderivative ∫ 2 sec x tan x dx.
Question 4
DB question no.: 4
Points: 4
Find the general antiderivative ∫ 4/(1-x²) dx.
Question 5
DB question no.: 5
Points: 4
Find the general antiderivative ∫ 5 sec² x dx.
Question 6
DB question no.: 6
Points: 4
\(Find the general antiderivative ∫ 4 (\cos x)/(sin² x) dx.\)
Question 7
DB question no.: 7
Points: 4
Find the general antiderivative $\int (3e^x - 2) dx$.
Question 8
DB question no.: 8
Points: 4
Find the general antiderivative $\int (4x - 2e^x) dx$.
Question 9
DB question no.: 9
Points: 4
Find the general antiderivative $\int (3\cos x - \frac{1}{x}) dx$.
Question 10
DB question no.: 10
Points: 4
Find the general antiderivative $\int (2x^{-1} + \sin x) dx$.
Question 11
DB question no.: 11
Points: 4
If $f'(x) = 3e^x + x$ and f(0) = 4, find f(x).
Question 12
DB question no.: 12
Points: 4
If $f'(x) = 4\cos x$ and f(0) = 3, find f(x).
Question 13
DB question no.: 13
Points: 4
If $f''(x) = 12x^2 + 2e^x$, $f'(0) = 2$, and f(0) = 3, find f(x).
Question 14
DB question no.: 14
Points: 4
If $f''(x) = 20x^3 + 2e^x$, $f'(0) = -3$, and f(0) = 2, find f(x).
Question 15
DB question no.: 15
Points: 4
If $f''(t) = 2 + 2t$, $f'(0) = 2$, and f(3) = 2, find f(t).
Question 16
DB question no.: 16
Points: 4
If $f''(t) = 4 + 6t$, $f'(1) = 3$, and f(-1) = -2, find f(t).

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