Personality Test
Interviews
IQ Test
Question of the Day
Pak Current Affairs

Menu

Home
Classes
- Punjab
- Federal
- Sindh
CSS Exam
Entry Test
- ECAT Test
- MDCAT Test
Forces
GK
Aptitude Test
Subject Wise

Home/ECAT/ECAT Mathematics Integration Online Test

ECAT Mathematics Integration Online Test

Danial MalikLast Updated: April 18, 2025

ECAT Math Integration

ECAT Math Integration Chapter Online Test

Total Questions:	50
Time Allowed:	20 Minutes
Total Marks:	50
How to Attempt Test:	Please choose the right Option in MCQ-type question.
Test Helpful For:	ECAT Entry Test Mathematics Online Test Interview Questions about Mathematics All Universities Entrance Test Recruitments Tests

Please wait...

0%

Page 1 of 2

1. ∫(eˣ + cosc) = dx

-sinx + c

ex + sinx + c

Sinx + c

ex – sin x + c

Loading...

2. ∫ d/dx (x² + 3x) dx =

x³/3 + 3x²/2 + c

2x + 3 + c

x² + 3x + c

2x + 3

Loading...

3. ∫ cot xdx =

In cosecx + c

In cotx + c

In sinx + c

In secx + c

Loading...

4. The slope of tangent to the curve y = x² - 2x at P(1,1) is

-2

1

0

2

Loading...

5. In 2 ∫ 2ˣ dx =

2ˣ + c

2ˣ/In 2 + c

1/2ˣ In 2 + c

In 2/2ˣ + c

Loading...

6. ∫ Tanxdx/In sec x = ?

In(In cosx) + c

In(In sec x) + c

In (In tan x) + c

In (In cot x) + c

Loading...

7. ∫ -1/x√x² - 1 dx =

sec⁻¹ x + c

sin⁻¹ x + c

cosec⁻¹ x + c

tan ⁻¹ x + c

Loading...

8. ∫ dX/X² – 9 = ?

1/9 Tan ⁻¹(x/9) + c

None of these

1/6 In x–3/x+3 + c

1/6 In x+3/x–3 + c

Loading...

9. ∫(eˣ - sin2x/cos²x) dx =

In(xsin²x) + c

In(xcos²x) + c

In(xsinx) + c

In(ex cos²x) + c

Loading...

10. ∫sin xdx =

Cos x + c

Tanx + c

Cotx + c

-cos x + c

Loading...

11. ∫ dx/√a² – x² = ?

Sin⁻¹ x/a + c

A sin⁻¹ x/a

1/a sin⁻¹ x/a

1/a Tan⁻¹ x/a

Loading...

12. ∫ dx/√a² – x² =

cosh⁻¹(x/a) + c

sin⁻¹(x/a) + c

sinh⁻¹(x/a) + c

sin⁻¹ x + c

Loading...

13. ∫(1/x + cosec²x/cotx) dx =

In(xtanx)+c

In(xcotx)+c

Inx+tanx+c

Inx–cotx+c

Loading...

14.

D

B

A

C

Loading...

15. ∫ 6(x³ – 3x²)⁵ (3x² – 6x)dx = ?

(x³ – 3x²)⁶ + c

(x³ – 3x²)⁶/6 + c

(x³ – 3x²)⁴/4 + c

None of these

Loading...

16. Suitable substitution to integrate √x²–a² is

x = a sec Ø

x = a cot Ø

x = a sin Ø

x = a tan Ø

Loading...

17. ∫ 1/xInx dx =

x + c

In In In x + c

In In x + c

In x + c

Loading...

18.

A

D

C

B

Loading...

19. – ∫ sec²x/cotx dx – ∫ cosec²x/cotx dx =

2 In tanx + c

2 In cotx + c

In tanx + c

In cotx + c

Loading...

20. The general solution of differential equation of order 40 is that solution which contains __________ essential arbitrary constants.

45

49

40

Zero

Loading...

21. ∫ 2x – 1/x²–x+1 dx =

(2x – 1) + c

In(x² – x + 1) + c

0

In(2x – 1) + c

Loading...

22.

D

B

C

A

Loading...

23. Solution of differential equation dy/dx = 1/√1 – x² is

y = tan⁻¹ x + c

y = sec⁻¹ x

y = cotx + c

y = sin⁻¹ x + c

Loading...

24. The area bounded by x – axis and the curve y = 4x – x² is

32/3

64

64/3

32

Loading...

25. ∫ - 3cosec² 3xdx =

tan 3x + c

-cos 3x + c

cot 3x + c

-cot3x + c

Loading...

Page 2 of 2

26. ∫ (Tan⁴ x + Tan² x) dx = ?

Tan⁴ x/4

Tan³x/3

None of these

Tan⁵ x/5

Loading...

27. ∫ - 2cosec² 2xdx =

Cot2x + c

Cos2x + c

-cos2x + c

Tan2x + c

Loading...

28. ∫ dx/xsin²(ln x) = ?

-cot(lnx)

-tan(lnx)

Tan (lnx)

Cot(lnx)

Loading...

29. ∫ a/xⁿ dx ?

axⁿ⁺¹/n+1 + c

(ax)ⁿ⁺¹

axⁿ⁻¹(n – 1) + c

axⁿ⁻¹/1 – n

Loading...

30. ∫ 1/1+x² dx =

cot⁻¹ x + c

-cot⁻¹ x + c

sin⁻¹ x + c

cos⁻¹ x + c

Loading...

31.

A

B

C

D

Loading...

32. ∫(∫ 1/x sec² x/Tanx)dx

Inx – cot x + c

Inx – Tanx + c

In(x Tanx) + c

In (x cotx)

Loading...

33. If y = f(x), then f(x + sx) is nearly equal to

f(x) + dy

y + s (x + sx)

f(x), f(sx)

f(x) + f(sx)

Loading...

34.

A

C

D

B

Loading...

35. ∫ [eˣ - sin2x/cos²x]dx = ?

In(x cos²x) + c

In(x sinx) + c

In(eˣ cos² x) + c

In(x sin²x) + c

Loading...

36. ∫ –2x/√4 – x² dx

8 – 2x² + c

2√x²+4

2√x²–4 + c

2√4–x² + c

Loading...

37. ∫ 1/1+x² dx =

cot⁻¹ x + c

cos⁻¹ x + c

sin⁻¹ x + c

tan⁻¹ x + c

Loading...

38. ∫ eˣ [sinh⁻¹ x + 1/√1+x²] dx = ?

eˣ cos⁻¹ x + c

eˣ sinh⁻¹ x + c

eˣ cos h⁻¹ x

eˣ tan⁻¹x + c

Loading...

39. ∫ dx/x² – a² =

½ In a+x/a–x + c

½ In x+a/x–a + c

½ In x–a/x+a + c

½ tan In (x/a) + c

Loading...

40. In a ∫ aˣ dx =

aˣ/in a + c

in a/aˣ + c

1/aˣin a + c

aˣ + c

Loading...

41.

A

D

B

C

Loading...

42. Solution of differential equation dy/dx = sinx/siny = 0

Sin x = sin y

Sin x + sin y = c

Cos y – cos x = c

Cos x = cos y

Loading...

43. ∫ sin⁻¹ (cos)dx = ?

x²/2

πx + x²/2

πx/2

πx/2 – x²/2

Loading...

44. ∫ 2x+5/x²+5x dx

In|2x+5|+c

In|x²+5x| + c

3x + 5

x²+5x

Loading...

45. If n ≠ – 1. Then ∫ [f(x)]ⁿ f’(x)(dx) =

[f(x)]ⁿ⁺¹/n + 1 +c

[f(x)]ⁿ⁻¹/n – 1 +c

[f(x)]ⁿ⁻¹/n +c

n[f(x)]ⁿ⁻¹ +c

Loading...

46. ∫(√x – 1/√x)² dx =

½ x² – 2x + In x + c

½ x² – 2x + c

½ x² + In x + c

x² – x + In x + c

Loading...

47. 6/(x³ – 3x²)⁶ ∫ (x³ – 3x²)⁵ (3x² – 6x) dx =

(x³ – 3x²)⁴/4 + c

c

(x³ – 3x²)⁶ + c

(x³ – 3x²)⁶/6 + c

Loading...

48. ∫ cos xdx/sin x In sin x = ?

Incosx + c

In(In cos x) c

In(In sinx) + c

In sinx + c

Loading...

49. The integration is the reverse process of

Tabulation

Differentiation

Sublimation

Classification

Loading...

50. If Ø’ (x) = f(x), then Ø (x) is called

None of these

Anti – derivatives

Derivative of f(x)

Derivatives of Ø

Loading...

Loading...

You Can Learn and Gain more Knowledge through our Online Quiz and Testing system Just Search your desired Preparation subject at Gotest.

You Might Also Like

ECAT Introduction to Computers Online Test
ECAT Physics Optical Instruments 1 Test Online
ECAT Computer File Handling in “C” Test Online
ECAT Computer Functions in “C” Test Online
ECAT Computer Loop Constructs Test Online
ECAT Computer Decision Constructs Test Online
ECAT Computer Input Output Test Online
ECAT Computer Elements of “C” Test Online
ECAT Computer Getting Started with “C” Test Online
ECAT Computer Science Microsoft Access-Forms and Reports Tes...

Danial MalikLast Updated: April 18, 2025

Facebook Twitter Reddit WhatsApp Share via Email Print

Danial Malik

Your Related

ECAT Chemistry Gases 1 Online Test Preparation

ECAT Computer Peripheral Devices Test Online

ECAT Physics Work and Energy Test Online

ECAT English Spotting Errors Test 2 Online Preparation

ECAT Mathematics Matrices and Determinants Online Test

ECAT English Sentence Completion Online Test

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Comment *

Name *

Email *

Δ

© Copyright 2025, All Rights Reserved | Gotest

Back to top button

Close

Search for:

error: