كويز تفاعلي: 28 Questions: تكامل الدوال الخاصة

Question 1

DB question no.: 1

Points: 1

قيمة \( \int \sin(2x - \pi)dx \) هي:

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Question 2

DB question no.: 2

Points: 1

قيمة \( \int_1^e (2x - \frac{1}{x})dx \) هي:

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Question 3

DB question no.: 3

Points: 1

قيمة \( \int_{-1}^1 (2 - |x|)dx \) هي:

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Question 4

DB question no.: 4

Points: 1

قيمة \( \int_0^1 e^{-x}dx \) هي:

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Question 5

DB question no.: 5

Points: 1

قيمة \( \int_0^{\pi/2} \cos^2 x dx \) هي:

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Question 6

DB question no.: 6

Points: 1

ناتج \( \int 6e^{3x-1}dx \) هو:

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Question 7

DB question no.: 7

Points: 1

ناتج \( \int \cos(7 - 5x)dx \) هو:

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Question 8

DB question no.: 8

Points: 1

قيمة \( \int_0^{\pi/4} \tan^2 x dx \) هي:

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Question 9

DB question no.: 9

Points: 1

قيمة \( \int_0^6 \frac{6x}{x^2 + 1} dx \) هي:

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Question 10

DB question no.: 10

Points: 1

قيمة \( \int_4^6 (5 + |3 - x|)dx \) هي:

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Question 11

DB question no.: 11

Points: 1

ناتج \( \int 2e^{1-2x}dx \) هو:

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Question 12

DB question no.: 12

Points: 1

ناتج \( \int \cot^2 x dx \) هو:

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Question 13

DB question no.: 13

Points: 1

إذا كان \( \int_3^k (2x - 3)dx = 4 \) فإن قيمة k هي:

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Question 14

DB question no.: 14

Points: 1

قيمة \( \int_1^2 \frac{x^2 - 6}{2x} dx \) هي:

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Question 15

DB question no.: 15

Points: 1

قيمة \( \int_0^2 e^{2x} dx \) هي:

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Question 16

DB question no.: 16

Points: 1

قيمة \( \int_{-4}^4 (4 - |x|)dx \) هي:

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Question 17

DB question no.: 17

Points: 1

إذا كان \( \int_a^{2a} (2 + 2x)dx = 1, a > 0 \) فجد قيمة الثابت a:

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Question 18

DB question no.: 18

Points: 1

إذا كان \( f'(x) = \cos^2 x \) يمثل ميل المماس لمنحنى الاقتران f فجد قاعدة الاقتران f الذي يمر منحناه بنقطة الأصل:

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Question 19

DB question no.: 19

Points: 1

إذا كان \( \int_a^{2a} \frac{1 + 4x}{x} dx = \ln 32, a > 0 \) فجد قيمة الثابت a:

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Question 20

DB question no.: 20

Points: 1

إذا كان \( \int_1^e \frac{2x^2 - k}{x} dx = e^2 - 5 \) فجد قيمة الثابت k:

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Question 21

DB question no.: 21

Points: 1

إذا كان \( f'(x) = \sin 2x \) يمثل ميل المماس لمنحنى الاقتران f فجد قاعدة الاقتران f الذي يمر منحناه بالنقطة (0, 2):

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Question 22

DB question no.: 25

Points: 1

أوجد ناتج التكامل الآتي: \( \int \frac{1}{\sqrt{e^x}} dx \)

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Question 23

DB question no.: 26

Points: 1

أوجد ناتج التكامل الآتي: \( \int \sec^2(2x - 1)dx \)

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Question 24

DB question no.: 27

Points: 1

أوجد ناتج التكامل الآتي: \( \int_0^2 |x^3 - 1|dx \)

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Question 25

DB question no.: 28

Points: 1

أوجد ناتج التكامل الآتي: \( \int_0^{\pi/4} (\sec^2 x + \cos 4x)dx \)

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Question 26

DB question no.: 29

Points: 1

أوجد ناتج التكامل الآتي: \( \int_0^{\pi/3} (\sin(2x + \frac{\pi}{3}) - 1 + \cos 2x)dx \)

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Question 27

DB question no.: 30

Points: 1

أوجد ناتج التكامل الآتي: \( \int_0^{\pi/8} \sin 2x \cos 2x dx \)

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Question 28

DB question no.: 31

Points: 1

أوجد ناتج التكامل الآتي: \( \int_0^3 (x - 5^x)dx \)

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كويز تفاعلي: 28 Questions: تكامل الدوال الخاصة

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