12th class Mathematics chapter 3 online mcq test with answers for Fa part 2 Mathematics Chapter 3 (Integration)

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

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

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

• 0 A
• 1 B
• 2 C
• 4 D

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

An integral of 3x² is:

• x³+c A
• 3 B
• 6x C
• x^2+c D

• 36 A
• 42 B
• 48 C
• 12 D

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

Area between x-axis and the curve:

• 32 A
• 
  B
• 
  C
• 16 D

• integration by parts A
• definite integral B
• Differentation C
• None of these D

If y = sin x then dy =

• cosy dx A
• cos x B
• cosx dx C
• cos xdy D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

The technique or method to find such a function whose derivative is given involves the inverse process of differentiation called:

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

• Integration A
• Integration w.r.t.x. B
• Differentiation C
• Differentiation w.r.t.x D

• cosec x + c A
• -cosec x + c B
• cot x + c C
• - cot x + c 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

• 
  A
• 
  B
• 
  C
• 
  D