ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 19 (Integration)

• 
  A
• a f(x) + c B
• f(x) + a C
• 
  D

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• - cot 4x + c A
• cot 4x + c B
• tan 4x + c C
• - tan 4x + c D

• X = 100 sinθ A
• X = 10 sinθ B
• X = 100 secθ C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

∫f(x) is known as:

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  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

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

An integral of 1/x dx is:

• 1/x² A
• 1/-x² B
• 1/lnx C
• lnx D

• 
  A
• 
  B
• 
  C
• 
  D

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