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

If the graph of f is entirely below the x-axis, then the value of definite integral is

• = 0 A
• < 0 B
• > 0 C
• None D

• 1 A
• 2 B
• 3 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

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

∫f(x) is known as:

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• sec 3x + c A
• - cosec 3x + c 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