ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 19 (Integration)

• a sin(ax + b) + c A
• - a sin(ax + b) + c B
• 
  C
• 
  D

∫ x cos dx is equal to :

• x cos x + sin x A
• cos x + x sin x B
• x cos x + x sin x C
• x sin x + cos x D

• 
  A
• 
  B
• 
  C
• 
  D

• sin x + c A
• -sin x + c B
• cos x + c C
• -cos x + c D

• 
  A
• 
  B
• 
  C
• 
  D

The area between the x-axis and the curve y = x² + 1 from x = 1 to 2 is:

• 15/6 A
• 15/4 B
• 10/4 C
• 10/3 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The differential equations of all conis whose axes coincide with the co-ordinate axis is

• 
  A
• 
  B
• 
  C
• 
  D

The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is

• 0.4cm A
• 8.8πcm B
• 17.6 πcm C
• 35.2πcm D

• a cot(ax + b) + c A
• - a cot(ax + b) + c B
• 
  C
• 
  D

• a tan(ax + b) + c A
• - a tan(ax + b) + c B
• 
  C
• 
  D

∛8.6 is approximately equal to

• 2.488 A
• 2.48 B
• 2.0488 C
• 2.05 D

∫x/Sin² x dx is equal to:

• x cot x + ln|sin⁡x | A
• -x cot x - ln|sin⁡x | B
• x cot x - ln|sin⁡x | C
• x. tan x- ln|sec⁡x | D

• Always negative A
• Zero B
• Always positive C
• Infinity D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• tan 3x + c B
• cot 3x + c C
• - cot 3x + c D

• 
  A
• 
  B
• 
  C
• 
  D

The process of finding a function whose derivative is given is called a

• Differentiation A
• Integration B
• Differential C
• None D

∫Sec² (ax + b) dx is equal to:

• tan² (ax + b) A
• 1/a tan² (ax + b) B
• 1/atan (ax +b) C
• tan (ax + b) D

• 
  A
• x^-2+ c B
• 
  C
• not possible D

• X = 100 sinθ A
• X = 10 sinθ B
• X = 100 secθ C
• None of these D

• x³- x²+ x + c A
• 6x - 2 + c B
• x³- 2x + c C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• cot x + c A
• tan x + c B
• -cot x + c C
• -tan x + c D

The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The number of arbitrary constants in the general solution of a differential equation is equal to the different equation

• Order A
• Degree B
• Variables C
• All are correct D

• 
  A
• 
  B
• 
  C
• 
  D