ECAT Pre Engineering MCQ Test With Answer for Chapter 19 Mathematics

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• - cot 4x + c A
• cot 4x + c B
• tan 4x + c C
• - tan 4x + c D

• 
  A
• a^xIn a + c B
• a^x+ c C
• x a^x+ c D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 2, 3 A
• 3, 3 B
• 2, 6 C
• 2, 4 D

• π A
• π/6 B
• -π/2 C
• 2π 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

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

∫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
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• y + 1 = Ae^x A
• y + 1 = Axe^x B
• xe^x = C C
• y + xe^x= C D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• a f(x) + c B
• f(x) + a C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D