ECAT Pre Engineering MCQ Test With Answer for Chapter 19 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 2 B
• 3 C
• 4 D

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

• 4 A
• 0 B
• -4 C
• 8 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

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

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

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

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

• 
  A
• 
  B
• In f(x) + c C
• f(x) - c 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

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

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

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

• Y = -x log x -x + c A
• Y = x log x + x B
• Y = x log x - x + c C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  D