Punjab 12th Class Math Chapter 3 Integration Mcqs Test Online

Please wait...

• <<
• 1
• 2
• 3
• 4
• 5
• 6
• 7
• 8
• 9
• 10
• 11
• 12
• 13
• 14
• 15
• 16
• 17
• 18
• 19
• 20
• >>

 

Question 1 of 20

Math

1. ∫ 1/ax + b dx equals

1.1/a In(ax + b) + c

2.In (ax + b) + c

3.loga (ax + b) + c

4.a In(ax + b) + c

Question 1 of 20

Question 2 of 20

2. e ͯ[lnx + 1/x]dx = ________

1.e ͯ lnx + c

2.e ͯ/x + c

3.In x + e ͯ+ c

4.lnx – e ͯ+ c

Question 2 of 20

Question 3 of 20

3. d/dx & ∫ ……… dx are:

1.Same operations

2.No relation between these two

3.Inverse operations

4.None of these

Question 3 of 20

Question 4 of 20

4. The anti derivative of zero is

1.constant

2.0

3.x

4.1

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.T³ + c

2.3t² + c

3.t³ + c

4.3t² + c

Question 5 of 20

Question 6 of 20

6. 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.Integral

2.None of these

3.Area

4.Function

Question 6 of 20

Question 7 of 20

7. ∫x Cos x dx = _________

1.x Cos x + Sin x + c

2.x Sin x + c

3.x Sin x – Cosx + c

4.x Sin x + Cos x + c

Question 7 of 20

Question 8 of 20

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

1.tany + c

2.cosec²y + c

3.cosecy + c

4.tan²y + c

Question 8 of 20

Question 9 of 20

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

1.x = a tan θ

2.x = a cot θ

3.x = a sin θ

4.x = a cosec θ

Question 9 of 20

Question 10 of 20

10. ∫x Sin x dx = __________

1.x Sin x – Cos x + c

2.x Sin x – Sin x + c

3.Sin x – x Cos x + c

4.x Sin x + x Cosx + c

Question 10 of 20

Question 11 of 20

11. ∫ 2 ͯ(1n2) dx =

1.2 ͯ/1n2 + c

2.1/2 ͯ1n2

3.1n2/2 ͯ + c

4.2 ͯ + c

Question 11 of 20

Question 12 of 20

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

1.tany

2.sec y tan y

3.secy + c

4.sec²y

Question 12 of 20

Question 13 of 20

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

1.y = Cot (e ͯ + c)

2.y = Sin (e ͯ + c)

3.y = Tan (e ͯ + c)

4.y = Cos (e ͯ + c)

Question 13 of 20

Question 14 of 20

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

1.(ax + b)ⁿ⁺¹/a + c

2.(ax + b)ⁿ⁺¹/a(n + 1) + c

3.(ax + b)ⁿ⁺¹+c

4.(ax + b)ⁿ⁺¹/a(n+1)+c

Question 14 of 20

Question 15 of 20

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

1.C

2.A

3.B

4.D

Question 15 of 20

Question 16 of 20

16. ∫ 1/ax + b dx = __________

1.1/a ln|ax + b| + c

2.(ax + b)/b+c

3.1/b ln|ax + b| + c

4.1/b In |ax – b| + c

Question 16 of 20

Question 17 of 20

17. ∫ dx/a² – x² dx = __________

1.Sin⁻¹ x/a + c

2.Cos⁻¹ x/c + c

3.Sin⁻¹ a/x + c

4. Sin⁻¹ x + c

Question 17 of 20

Question 18 of 20

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

1.Y = e⁻ ͯ

2.Y = ce⁻ ͯ

3.Y = e ͯ

4.Y = ce ͯ

Question 18 of 20

Question 19 of 20

19. ∫ Cosec²(ax + b) d

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

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

3.a tan (ax + b) + c

4.1/a cot (ax + b) + c

Question 19 of 20

Question 20 of 20

20. ∫lnx dx = ________

1.xln x + c

2.ln x + x + c

3.x lnx – x + c

4.x lnx + x + c

Question 20 of 20

 Loading...

 

Other Related test

• Punjab 12th Class English Good Bye Mr. Chips Chapter 14 MCQs Test Online
• Punjab 11th Class Biology Chapter 6 Kingdom Prokaryotae of Life Mcqs Test Online
• Punjab 10th Class English Chapter 11 Great Expectations Mcqs Test Online
• Punjab 12th Class English Good Bye Mr. Chips Chapter 15 MCQs Test Online
• Punjab 11th Class Chemistry Chapter 9 Solutions and Colloids Mcqs Test Online
• Punjab 12th Class Urdu Faaqa Mein Roza Mcqs Test Online
• Punjab 10th Class Math Chapter 13 Practical Geometry Circles MCQs Test Online
• Punjab 11th Class Urdu Kuch Adab K Baray Mein Mcqs Test Online
• Punjab 10th Class Physics Chapter 6 Electromagnetism Mcqs Test Online
• Punjab 9th Class Pak Studies Model Paper 1 Mcqs Test Online