ECAT Pre Engineering MCQ Test With Answer for Chapter 19 Mathematics

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  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
• sin 2x + c B
• -sin 2x + c C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

∫f(x) is known as:

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

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

• 4 A
• 0 B
• -4 C
• 8 D

∫Sec² (ax + b) dx is equal to:

• tan² (ax + b) A
• 1/a tan² (ax + b) B
• 1/atan (ax +b) C
• tan (ax + b) D

An integral of 1/x dx is:

• 1/x² A
• 1/-x² B
• 1/lnx C
• lnx D

∫sin(ax+b) dx is equal to:

• 1/2a cos (ax + b) A
• -1/a cos (ax +b) B
• 1/a cos (ax +b) C
• 1/a ln (ax + b) D

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

The differential equation of all st. lines which are at a constant distance to form the origin is

• 
  A
• 
  B
• 
  C
• 
  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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

The area under the curve y = 1/x² between x = 1 and x =4 is:

• -25 A
• 0.75 B
• -0.35 C
• -10 D

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