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

• cot x A
• - cot x B
• cosec x cot x C
• -cosec x cot x D

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

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

• 
  A
• 
  B
• 2 C
• 1 D

• 0 A
• 1 B
• 2 C
• 4 D

The general solution of differential equation of order n contains n arbitrary constants, which can be determined by ------------ initial value conditions.

• 1 A
• 0 B
• 2 C
• n D

• Integral A
• Indefinite integral B
• Differential C
• Definite integral 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

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

If y = sin x then dy =

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• Integration A
• Integrand B
• Constant of integration 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

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

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

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