Second Year Mathematics Chapter 3 Online MCQ Test Integration Preparation

• Derivative A
• Differential B
• Integral 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

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

• 
  A
• 
  B
• 
  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

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

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

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

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

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

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

• 0.1204 A
• .12 B
• .02 C
• 1.2 D

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

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

• cos x + c A
• - cos x + c B
• sin x + c C
• -sin x + c D

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