• e^2x sin x + c A
• e^2xcosx + c B
• -e^2xsin x + c C
• -e^2xcosx + c D

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

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

• 36 A
• 42 B
• 48 C
• 12 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

• tan x + c A
• - tan x + c B
• sec x tan x + c C
• - sec x tan x + c 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

• 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

• 0 A
• 1 B
• 2 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 1 B
• 2 C
• 4 D

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

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

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

• 0.1204 A
• .12 B
• .02 C
• 1.2 D