Second Year Mathematics Chapter 3 Online MCQ Test Integration Preparation

• Integration A
• Integration w.r.t.x. B
• Differentiation C
• Differentiation w.r.t.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

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

Area between x-axis and the curve:

• 32 A
• 
  B
• 
  C
• 16 D

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

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

An integral of 3x² is:

• x³+c A
• 3 B
• 6x C
• x^2+c D

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

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

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

• 
  A
• 
  B
• 2 C
• 1 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

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

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

• 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

• 36 A
• 42 B
• 48 C
• 12 D

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

If y = sin x then dy =

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