12th class Mathematics chapter 3 online mcq test with answers for Fa part 2 Mathematics Chapter 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

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

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

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

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

• 36 A
• 42 B
• 48 C
• 12 D

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

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

• domain A
• range 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

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

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

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

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