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Punjab 12th Class Math Chapter 3 Integration Mcqs Test Online

Question 1 of 20

Math

1. ∫ 1/ax + b dx equals

1.loga (ax + b) + c

2.In (ax + b) + c

3.1/a In(ax + b) + c

4.a In(ax + b) + c

Question 1 of 20

Question 2 of 20

2. 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.None of these

2.Function

3.Integral

4.Area

Question 2 of 20

Question 3 of 20

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

1.(ax + b)ⁿ⁺¹+c

2.(ax + b)ⁿ⁺¹/a(n+1)+c

3.(ax + b)ⁿ⁺¹/a + c

4.(ax + b)ⁿ⁺¹/a(n + 1) + c

Question 3 of 20

Question 4 of 20

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

1.y = Tan (e ͯ + c)

2.y = Cot (e ͯ + c)

3.y = Sin (e ͯ + c)

4.y = Cos (e ͯ + c)

Question 4 of 20

Question 5 of 20

5. 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

1.3t² + c

2.T³ + c

3.t³ + c

4.3t² + c

Question 5 of 20

Question 6 of 20

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

1.tany + c

2.tan²y + c

3.cosecy + c

4.cosec²y + c

Question 6 of 20

Question 7 of 20

7. ∫x Sin x dx = __________

1.x Sin x – Sin x + c

2.Sin x – x Cos x + c

3.x Sin x + x Cosx + c

4.x Sin x – Cos x + c

Question 7 of 20

Question 8 of 20

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

1.Y = e⁻ ͯ

2.Y = e ͯ

3.Y = ce ͯ

4.Y = ce⁻ ͯ

Question 8 of 20

Question 9 of 20

9. ∫lnx dx = ________

1.x lnx – x + c

2.xln x + c

3.x lnx + x + c

4.ln x + x + c

Question 9 of 20

Question 10 of 20

10. ∫ Cosec²(ax + b) d

1.a tan (ax + b) + c

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

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

4.1/a cot (ax + b) + c

Question 10 of 20

Question 11 of 20

11. The anti derivative of zero is

1.constant

2.x

3.1

4.0

Question 11 of 20

Question 12 of 20

12. ∫ 1/ax + b dx = __________

1.(ax + b)/b+c

2.1/b ln|ax + b| + c

3.1/a ln|ax + b| + c

4.1/b In |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.sec²y

2.secy + c

3.sec y tan y

4.tany

Question 13 of 20

Question 14 of 20

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

1.D

2.A

3.C

4.B

Question 14 of 20

Question 15 of 20

15. ∫x Cos x dx = _________

1.x Sin x + c

2.x Sin x + Cos x + c

3.x Cos x + Sin x + c

4.x Sin x – Cosx + c

Question 15 of 20

Question 16 of 20

16. e ͯ[lnx + 1/x]dx = ________

1.In x + e ͯ+ c

2.lnx – e ͯ+ c

3.e ͯ/x + c

4.e ͯ lnx + c

Question 16 of 20

Question 17 of 20

17. ∫ dx/a² – x² dx = __________

1.Sin⁻¹ a/x + c

2.Cos⁻¹ x/c + c

3.Sin⁻¹ x/a + c

4. Sin⁻¹ x + c

Question 17 of 20

Question 18 of 20

18. ∫ 2 ͯ(1n2) dx =

1.2 ͯ/1n2 + c

2.1/2 ͯ1n2

3.2 ͯ + c

4.1n2/2 ͯ + c

Question 18 of 20

Question 19 of 20

19. d/dx & ∫ ……… dx are:

1.Same operations

2.None of these

3.Inverse operations

4.No relation between these two

Question 19 of 20

Question 20 of 20

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

1.x = a sin θ

2.x = a cosec θ

3.x = a cot θ

4.x = a tan θ

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