ECAT Pre Engineering MCQ Test With Answer for Chapter 19 Mathematics

∫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

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

• 
  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

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

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

The area enclosed between the graph y = x² -4x and the x- axis is:

• 20/3 A
• 41/3 B
• 32/3 C
• 25/3 D

An integral of 1/x dx is:

• 1/x² A
• 1/-x² B
• 1/lnx C
• lnx D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Archimedes approximate the function by horizontal function and the area under f by the sum of small

• Parallelograms A
• Squares B
• Retangles C
• Polygons D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• cos 2x + c A
• - cos 2x + c B
• tan 2x + c C
• cot 2x + c D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 1 A
• 2 B
• 3 C
• 4 D

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

The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is

• 0.4cm A
• 8.8πcm B
• 17.6 πcm C
• 35.2πcm 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

∛8.6 is approximately equal to

• 2.488 A
• 2.48 B
• 2.0488 C
• 2.05 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• A variable A
• A constant B
• 0 C
• None of these D

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