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

• 0 A
• 1 B
• 2 C
• 4 D

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

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

• 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

• 0 A
• 1 B
• 2 C
• 3 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

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

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

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

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

• 
  A
• 
  B
• 2 C
• 1 D

Area between x-axis and the curve:

• 32 A
• 
  B
• 
  C
• 16 D

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

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