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

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

• 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

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

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

If y = sin x then dy =

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

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

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

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

If the lower limit is a constant and the upper 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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D