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

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

• 36 A
• 42 B
• 48 C
• 12 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

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

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

• Integration A
• Integrand B
• Constant of integration 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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• 
  A
• 
  B
• 
  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

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

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

• Derivative A
• Differential B
• Integral 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

An integral of 3x² is:

• x³+c A
• 3 B
• 6x C
• x^2+c D