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

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

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

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

• 2, 3 A
• 3, 3 B
• 2, 6 C
• 2, 4 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 2 B
• 3 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.

• Differential equation A
• Initial condition B
• General solution C
• Singular equation 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

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

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

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

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

• π A
• π/6 B
• -π/2 C
• 2π D

Which of the following integrals can be evaluated

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• cot x + c A
• tan x + c B
• -cot x + c C
• -tan x + 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
• In(x²- x + 1)⁴+ c B
• 
  C
• 
  D

An integral of 1/x dx is:

• 1/x² A
• 1/-x² B
• 1/lnx C
• lnx D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D