Second Year Mathematics Chapter 3 Online MCQ Test Integration Preparation

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 2 C
• 4 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

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

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

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

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

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

• 36 A
• 42 B
• 48 C
• 12 D

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