ECAT (Pre-Eng) Mathematics Chapter 19 Integration

• 
  A
• 
  B
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  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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 2 B
• 3 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

The solution of differential equation:

• dy/dx+y/x = x² is : A
• 4xy = x⁴+ c B
• 4x = x⁴= c C
• 4 y = x⁴+ c D
• 4x=4x³ + c E

∫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

• 
  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
• 
  C
• 
  D

The set of all antiderivaties of f(= ∫f(x)dx) is the

• Definite integral A
• Indefinite integral B
• Integral C
• Area D

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

• 
  A
• 
  B
• 
  C
• 
  D

The function ø(x) is ananti derivativeof function f (x),x∈Df if

• ø′(x) =∫f(x)dx A
• ø(x) =∫f(x)dx B
• ø′(x) =f(x) C
• ø(x) =∫′(x)dx D

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

• 
  A
• 
  B
• 
  C
• 
  D

Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is

• 2 A
• 3 B
• 4 C
• 1 D

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following integrals can be evaluated

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

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

The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is

• 1.2% A
• 1.5% B
• 0.16% C
• 100.16% D

• 1 A
• 2 B
• 3 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D