Second Year Mathematics Chapter 3 Online MCQ Test Integration Preparation

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

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

• Positive A
• Positive or negative B
• Negative C
• Positive and negative D

• 36 A
• 42 B
• 48 C
• 12 D

An integral of 3x² is:

• x³+c A
• 3 B
• 6x C
• x^2+c D

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

• Derivative A
• Differential B
• Integral C
• None of these D

• e^ax A
• f(x) B
• e^axf(x) C
• e^{ax + f(x)} D

• f(x) A
• ln |f(x)| B
• f'(x) C
• ln |f'(x)| D

If the graph of f is entirely above the x-axis, then the definite integral is _______:

• Positive A
• Positive or negative B
• Negative C
• Positive and negative D

The term dy (or df) = f '(x) dx is called the __________ of the dependent variable y.

• Differentiation A
• Integration B
• Differential C
• None of these D

• ln |sin x| A
• - ln |sin x| B
• ln |cos x| C
• -ln |cos x| D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• equal to each other A
• not equal to each other B
• nearly equal to each other C
• None of these D

• ln |sec x + tan x | + c A
• ln |cosec x - cot x | + c B
• ln |sec x - tan x| + c C
• ln |cosec x + cot x | + c D

If the upper limit is a constant and the lower limit is a variable, then the integral is a function of:

• x A
• y B
• lower limit C
• upper limit D

• domain A
• range B
• lower limit C
• upper limit D

• e^-x sin x + c A
• -e^-x sin x + c B
• e^-xcosx + c C
• -e^-xsin x + c D

• 
  A
• 
  B
• 
  C
• 
  D