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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The area under the curve y = 1/x² between x = 1 and x =4 is:

• -25 A
• 0.75 B
• -0.35 C
• -10 D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

∫f(x) is known as:

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

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

• e^x+ c A
• e^-x+ c B
• x e^x+ c C
• not possible D

• 5x^{4 + c} A
• 1/6 x⁶+ c B
• 5x²+ c C
• 1/5 x⁶+ c D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 2, 3 A
• 3, 3 B
• 2, 6 C
• 2, 4 D

• 
  A
• 
  B
• 
  C
• 
  D

• y + 1 = Ae^x A
• y + 1 = Axe^x B
• xe^x = C C
• y + xe^x= C D

• 
  A
• tan 3x + c B
• cot 3x + c C
• - cot 3x + c D

The area between the x-axis and the curve y = x² + 1 from x = 1 to 2 is:

• 15/6 A
• 15/4 B
• 10/4 C
• 10/3 D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D