ICS Part 2 Mathematics Chapter 3 Test Online With Answers

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ICS Part 2 Mathematics Chapter 3 Test Online

Sr. # Questions Answers Choice
1 The general solution of differential equation of order n contains n arbitrary constants, which can be determined by ------------ initial value conditions. 1 0 2 n
2 0 1 2 3
3 0 1 2 4
4 Area between x-axis and the curve: 32 16
5 2 1
6 integration by parts definite integral Differentation None of these
7 If the graph of f is entirely below the x-axis, then the definite integral is: Positive Positive or negative Negative Positive and negative
8 If the graph of f is entirely above the x-axis, then the definite integral is _______: Positive Positive or negative Negative Positive and negative
9 36 42 48 12
10 domain range lower limit upper limit
11 domain range lower limit upper limit
12 If the lower limit is a constant and the upper limit is a variable, then the integral is a function of: x y lower limit upper limit
13 If the upper limit is a constant and the lower limit is a variable, then the integral is a function of: x y lower limit upper limit
14 Integration by parts Definite integral Differentiation None of these
15 e<sup>2x</sup> sin x + c e<sup>2x</sup>cosx + c -e<sup>2x</sup>sin x + c -e<sup>2x</sup>cosx + c
16 e<sup>-x</sup> sin x + c -e<sup>-x</sup> sin x + c e<sup>-x</sup>cosx + c -e<sup>-x</sup>sin x + c
17 e<sup>ax</sup> f(x) e<sup>ax</sup>f(x) e<sup>ax + f(x)</sup>
18 ln |sin x| - ln |sin x| ln |cos x| -ln |cos x|
19 ln |sec x + tan x | + c ln |cosec x - cot x | + c ln |sec x - tan x | + c ln |cosec x + cot x | + c
20 ln |sec x + tan x | + c ln |cosec x - cot x | + c ln |sec x - tan x| + c ln |cosec x + cot x | + c
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