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

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

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

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

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

An integral of 3x² is:

• x³+c A
• 3 B
• 6x C
• x^2+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

• 0 A
• 1 B
• 2 C
• 4 D

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

• 0 A
• 1 B
• 2 C
• 3 D

Area between x-axis and the curve:

• 32 A
• 
  B
• 
  C
• 16 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 above 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

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

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

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

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

• 0.1204 A
• .12 B
• .02 C
• 1.2 D

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