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

• 
  A
• 
  B
• 
  C
• 
  D

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

An integral of 3x² is:

• x³+c A
• 3 B
• 6x C
• x^2+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

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

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

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

• 
  A
• 
  B
• 2 C
• 1 D

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

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

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

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

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

If the graph of f is entirely above the x-axis, then the definite integral is _______:

• Positive A
• Positive or negative B
• Negative C
• Positive and negative D

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

• 36 A
• 42 B
• 48 C
• 12 D

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