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

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

• Integration by parts A
• Definite integral B
• Differentiation C
• None of these 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

• 36 A
• 42 B
• 48 C
• 12 D

If y = x² + 1 _______________ x changes from 3 to 3.02 then dy = __________

• 0.1204 A
• .12 B
• .02 C
• 1.2 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 A
• Integrand B
• Constant of integration C
• None of these D

• 0 A
• 1 B
• 2 C
• 4 D

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

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

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

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

• 0 A
• 1 B
• 2 C
• 3 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

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

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

Area between x-axis and the curve:

• 32 A
• 
  B
• 
  C
• 16 D