Second Year Mathematics Chapter 3 Online MCQ Test Integration Preparation

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

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

• Derivative A
• Differential B
• Integral C
• None of these D

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

• 0 A
• 1 B
• 2 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• Integration A
• Integrand B
• Constant of integration 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

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

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

Area between x-axis and the curve:

• 32 A
• 
  B
• 
  C
• 16 D

• domain A
• range B
• lower limit C
• upper limit 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 y = x² + 1 _______________ x changes from 3 to 3.02 then dy = __________

• 0.1204 A
• .12 B
• .02 C
• 1.2 D