Second Year Mathematics Chapter 3 Online MCQ Test Integration Preparation

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

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

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

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

• 36 A
• 42 B
• 48 C
• 12 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

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

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

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  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

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

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