ECAT Pre Engineering MCQ Test With Answer for Chapter 19 Mathematics

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  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

• 0 A
• 1 B
• 2 C
• 4 D

An integral of 1/x dx is:

• 1/x² A
• 1/-x² B
• 1/lnx C
• lnx D

• 
  A
• 
  B
• x²+ 2x + c C
• (x²+ 2x -1)⁴+ c D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• cos 3x + c A
• - cos 3x + c B
• 
  C
• 
  D

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

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

• Definite integral A
• Indefinite integral B
• Integral C
• Area D

Which of the following integrals can be evaluated

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• In f(x) + c C
• f(x) - 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 variable A
• A constant B
• 0 C
• None of these 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

∫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