ECAT Pre Engineering MCQ Test With Answer for Chapter 19 Mathematics

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  A
• 
  B
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  C
• 
  D

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

The process of finding a function whose derivative is given is called a

• Differentiation A
• Integration B
• Differential C
• None 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

• π A
• π/6 B
• -π/2 C
• 2π 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

• 
  A
• 
  B
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  C
• 
  D

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  A
• 
  B
• 
  C
• 
  D

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  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
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  C
• 
  D

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  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• sec 5x + c A
• - sec 5x + c B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  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

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  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

∫x/Sin² x dx is equal to:

• x cot x + ln|sin⁡x | A
• -x cot x - ln|sin⁡x | B
• x cot x - ln|sin⁡x | C
• x. tan x- ln|sec⁡x | D

• 
  A
• 
  B
• In f(x) + c C
• f(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

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

• 
  A
• 
  B
• 
  C
• 
  D