Second Year Mathematics Chapter 3 Online MCQ Test Integration Preparation

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

• 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

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

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

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

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

• equal to each other A
• not equal to each B
• nearly equal to each other 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

• 0 A
• 1 B
• 2 C
• 3 D

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

• 
  A
• 
  B
• 
  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

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

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

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