2nd Year Mathematics Chapter 3 Online MCQ Test for 12th Class Mathematics Unit 3 (Integration)

Area between x-axis and the curve:

• 32 A
• 
  B
• 
  C
• 16 D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  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

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

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

• e^2x sin x + c A
• e^2xcosx + c B
• -e^2xsin x + c C
• -e^2xcosx + c D

• Integration A
• Integrand B
• Constant of integration C
• None of these D

• Integration by parts A
• Definite integral B
• Differentiation C
• None of these 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

• Integration A
• Integrand B
• Constant of integration C
• None of these D

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

• 0 A
• 1 B
• 2 C
• 3 D

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

• 36 A
• 42 B
• 48 C
• 12 D