2nd Year Mathematics Chapter 3 Online MCQ Test for 12th Class Mathematics Unit 3 (Integration)

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

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

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

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

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

• 0.1204 A
• .12 B
• .02 C
• 1.2 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

• 
  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

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 A
• Integrand B
• Constant of integration C
• None of these D

• domain A
• range 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

• Integration A
• Integrand B
• Constant of integration C
• None of these D

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

• integration by parts A
• definite integral B
• Differentation 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

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