ECAT Pre Engineering MCQ Test With Answer for Chapter 19 Mathematics

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• sec 3x + c A
• - cosec 3x + c B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 + tan²x + c A
• tan x + c B
• -tan x + c C
• cot x + c D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• sin 2x + c B
• -sin 2x + c 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

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

If the graph of f is entirely below the x-axis, then the value of definite integral is

• = 0 A
• < 0 B
• > 0 C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

∫x sin xdx is equal to:

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• (x³- 3x²)⁸+ c A
• 
  B
• 
  C
• 3x²- 6x + c D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

∫f(x) is known as:

• Definite itegral A
• Indefinite integral B
• Fixed integral C
• Multiple integral D

• 
  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

If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a

• Constant function A
• Variable value B
• Function of upper limit C
• All 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