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Punjab 12th Class Math Chapter 3 Integration Mcqs Test Online

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Question 1 of 20

Math

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

1.cosec²y + c

2.tany + c

3.tan²y + c

4.cosecy + c

Question 1 of 20

Question 2 of 20

2. ∫ 1/ax + b dx = __________

1.1/b In |ax – b| + c

2.1/b ln|ax + b| + c

3.(ax + b)/b+c

4.1/a ln|ax + b| + c

Question 2 of 20

Question 3 of 20

3. d/dx & ∫ ……… dx are:

1.None of these

2.Same operations

3.Inverse operations

4.No relation between these two

Question 3 of 20

Question 4 of 20

4. e ͯ[lnx + 1/x]dx = ________

1.e ͯ/x + c

2.lnx – e ͯ+ c

3.e ͯ lnx + c

4.In x + e ͯ+ c

Question 4 of 20

Question 5 of 20

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

1.Y = e ͯ

2.Y = ce ͯ

3.Y = e⁻ ͯ

4.Y = ce⁻ ͯ

Question 5 of 20

Question 6 of 20

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

1.(ax + b)ⁿ⁺¹/a + c

2.(ax + b)ⁿ⁺¹+c

3.(ax + b)ⁿ⁺¹/a(n+1)+c

4.(ax + b)ⁿ⁺¹/a(n + 1) + c

Question 6 of 20

Question 7 of 20

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

1.y = Cos (e ͯ + c)

2.y = Sin (e ͯ + c)

3.y = Cot (e ͯ + c)

4.y = Tan (e ͯ + c)

Question 7 of 20

Question 8 of 20

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

1.x = a sin θ

2.x = a tan θ

3.x = a cosec θ

4.x = a cot θ

Question 8 of 20

Question 9 of 20

9. The anti derivative of zero is

1.x

2.0

3.1

4.constant

Question 9 of 20

Question 10 of 20

10. 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

1.Function

2.Area

3.None of these

4.Integral

Question 10 of 20

Question 11 of 20

11. ∫ Cosec²(ax + b) d

1.1/a cot (ax + b) + c

2.-1/a tan(ax + b) + c

3.-1/a Cot (ax + b) + c

4.a tan (ax + b) + c

Question 11 of 20

Question 12 of 20

12. ∫ 1/ax + b dx equals

1.a In(ax + b) + c

2.1/a In(ax + b) + c

3.In (ax + b) + c

4.loga (ax + b) + c

Question 12 of 20

Question 13 of 20

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

1.sec y tan y

2.sec²y

3.tany

4.secy + c

Question 13 of 20

Question 14 of 20

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

1.B

2.C

3.D

4.A

Question 14 of 20

Question 15 of 20

15. ∫ dx/a² – x² dx = __________

1.Cos⁻¹ x/c + c

2.Sin⁻¹ x/a + c

3.Sin⁻¹ a/x + c

4. Sin⁻¹ x + c

Question 15 of 20

Question 16 of 20

16. ∫x Cos x dx = _________

1.x Sin x – Cosx + c

2.x Sin x + Cos x + c

3.x Sin x + c

4.x Cos x + Sin x + c

Question 16 of 20

Question 17 of 20

17. ∫lnx dx = ________

1.x lnx – x + c

2.x lnx + x + c

3.xln x + c

4.ln x + x + c

Question 17 of 20

Question 18 of 20

18. 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

1.t³ + c

2.3t² + c

3.3t² + c

4.T³ + c

Question 18 of 20

Question 19 of 20

19. ∫ 2 ͯ(1n2) dx =

1.2 ͯ + c

2.2 ͯ/1n2 + c

3.1n2/2 ͯ + c

4.1/2 ͯ1n2

Question 19 of 20

Question 20 of 20

20. ∫x Sin x dx = __________

1.x Sin x – Sin x + c

2.x Sin x – Cos x + c

3.Sin x – x Cos x + c

4.x Sin x + x Cosx + c

Question 20 of 20

Test By Subject	Punjab
Test By Topics	12th Class Math

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Punjab 12th Class Math Chapter 3 Integration Mcqs Test Online