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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called

• Boundaries A
• Variable separable B
• Initial values C
• None D

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

• 
  A
• 
  B
• 
  C
• 
  D

• A variable A
• A constant B
• 0 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The area enclosed between the graph y = x² -4x and the x- axis is:

• 20/3 A
• 41/3 B
• 32/3 C
• 25/3 D

f(x)g(x)- ∫g(x) f′(x) dx is equal to

• ∫f(x)g′(x)dx A
• ∫f′(x)g(x)dx B
• ∫f′(x)g(x)′dx C
• ∫f(x)g(x)dx D

• 
  A
• 
  B
• 
  C
• 
  D

The general solution of the differential equation x dy / dx = 1 + y is:

• 2 A
• 1 B
• 3 C
• None D

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  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

• cosec x + c A
• -cosec x + c B
• -sec x + c C
• sec x + c D

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

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

• 
  A
• In(x²- x + 1)⁴+ c B
• 
  C
• 
  D

• 
  A
• In(x²- x + 1) + c B
• 
  C
• In(2x - 1) + c D

The area bounded by y = x (x2 - 4) and below x - axis is

• 4 A
• 0 B
• -4 C
• 8 D

The set of all antiderivaties of f(= ∫f(x)dx) is the

• Definite integral A
• Indefinite integral B
• Integral C
• Area 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 cos(ax + b) + c A
• - a cos(ax + b) + c B
• 
  C
• 
  D

The integral of 3x⁵dx is:

• 15 x⁴ A
• x⁶ /2 B
• 1/6x⁵ C
• x⁵ /ln3 D

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

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

• 2x - 3x + c A
• 
  B
• x²- 3x + c C
• 
  D