Second Year Mathematics Chapter 3 Online MCQ Test Integration Preparation

If y = sin x then dy =

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

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

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

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

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

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

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

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

Area between x-axis and the curve:

• 32 A
• 
  B
• 
  C
• 16 D

• equal to each other A
• not equal to each B
• nearly equal to each other 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

• 0 A
• 1 B
• 2 C
• 4 D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  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