Punjab 12th Class Math Chapter 3 Integration Mcqs Test Online

Q: How can I prepare for Punjab 12th Class Math Chapter 3 Integration Mcqs Test Online?

You can prepare for Punjab 12th Class Math Chapter 3 Integration Mcqs Test Online by attempting the free online quizzes at Gotest.com.pk. We provide instant results, performance reports, and detailed explanations for every question.

Question 1

1. The definite integral ᵇ∫f(x) dx represents the __________ above the x-axis and under the curve y = f(x) from x = a to x = b

Answer

None of these

Question 2

2. The anti derivative of zero is

Question 3

3. ∫x Sin x dx = __________

Answer

Sin x – x Cos x + c

Answer

x Sin x + x Cosx + c

Answer

x Sin x – Cos x + c

Answer

x Sin x – Sin x + c

Question 4

4. d/dx & ∫ ……… dx are:

Answer

No relation between these two

Answer

Inverse operations

Answer

None of these

Answer

Same operations

Question 5

5. The solution of dy/dx = -y is __________

Answer

Y = ce⁻ ͯ

Answer

Y = e⁻ ͯ

Question 6

6. ∫lnx dx = ________

Answer

ln x + x + c

Answer

x lnx + x + c

Answer

x lnx – x + c

Question 7

7. ∫ dx/a² – x² dx = __________

Answer

Sin⁻¹ x/a + c

Answer

Sin⁻¹ a/x + c

Answer

Cos⁻¹ x/c + c

Answer

Sin⁻¹ x + c

Question 8

8. ∫ 2 ͯ(1n2) dx =

Answer

2 ͯ/1n2 + c

Answer

1n2/2 ͯ + c

Question 9

9. ∫ Cosec²(ax + b) d

Answer

-1/a tan(ax + b) + c

Answer

1/a cot (ax + b) + c

Answer

a tan (ax + b) + c

Answer

-1/a Cot (ax + b) + c

Question 10

10. ∫ 1/ax + b dx = __________

Answer

(ax + b)/b+c

Answer

1/b In |ax – b| + c

Answer

1/b ln|ax + b| + c

Answer

1/a ln|ax + b| + c

Question 11

11. Substitution for the integrals involving the expression √a² - x can be:

Answer

x = a cosec θ

Answer

x = a sin θ

Answer

x = a cot θ

Answer

x = a tan θ

Question 12

12. The shaded area in the figure can be represented by

Question 13

13. ∫ 1/ax + b dx equals

Answer

loga (ax + b) + c

Answer

a In(ax + b) + c

Answer

1/a In(ax + b) + c

Answer

In (ax + b) + c

Question 14

14. ∫x Cos x dx = _________

Answer

x Cos x + Sin x + c

Answer

x Sin x + c

Answer

x Sin x + Cos x + c

Answer

x Sin x – Cosx + c

Question 15

15. e ͯ[lnx + 1/x]dx = ________

Answer

lnx – e ͯ+ c

Answer

e ͯ/x + c

Answer

In x + e ͯ+ c

Answer

e ͯ lnx + c

Question 16

16. The anti derivative of the function f(y) = secy tan y is

Answer

sec y tan y

Question 17

17. ∫(ax + b)ⁿ dx = __________, if n≠ -1 then

Answer

(ax + b)ⁿ⁺¹/a(n+1)+c

Answer

(ax + b)ⁿ⁺¹+c

Answer

(ax + b)ⁿ⁺¹/a(n + 1) + c

Answer

(ax + b)ⁿ⁺¹/a + c

Question 18

18. The anti derivative of the function f(y) = tan²y cosec²y is

Answer

tan²y + c

Answer

cosec²y + c

Answer

cosecy + c

Question 19

19. If the velocity of a particle moving in a straight line is given by v = 3t² then the distance traveled by it in the first T seconds is

Question 20

20. The solution of dy/y² + 1 = e ͯ dx is

Answer

y = Cos (e ͯ + c)

Answer

y = Tan (e ͯ + c)

Answer

y = Sin (e ͯ + c)

Answer

y = Cot (e ͯ + c)

Question 21

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Punjab 12th Class Math Chapter 3 Integration Mcqs Test Online

Punjab 12th Class Math Chapter 3 Integration Mcqs Test Online

Math

Guide for Punjab Board Students

Top Scoring Tips for Punjab:

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Punjab 12th Class Math Chapter 3 Integration Mcqs Test Online

Math

Guide for Punjab Board Students

Top Scoring Tips for Punjab:

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