ECAT Mathematics Chapter 19 Integration Online Test With Answers

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ECAT Mathematics Chapter 19 Integration Online Test

Sr. # Questions Answers Choice
1 a<sup>x</sup>In a + c a<sup>x</sup>+ c x a<sup>x</sup>+ c
2 e<sup>x</sup>+ c e<sup>-x</sup>+ c x e<sup>x</sup>+ c not possible
3 cosec x + c -cosec x + c -sec x + c sec x + c
4 cosec x + c -cosec x + c -sec x + c sec x + c
5 cot x + c tan x + c -cot x + c -tan x + c
6 1 + tan<sup>2</sup>x + c tan x + c -tan x + c cot x + c
7 sin x + c -sin x + c cos x + c -cos x + c
8 cos x + c -sin x + c -cos x + c sin x + c
9
10
11
12 6x - 2 + c x<sup>3</sup>- x<sup>2</sup>+ x + c 6x - x<sup>2</sup>+ c 6x<sup>3</sup>- x<sup>2</sup>+ c
13 6x + 2 + c 6x + x<sup>2</sup>+ c 6x<sup>3</sup>+ x<sup>2</sup>+ x
14 2x + 3 x<sup>2</sup>+ 3 + c
15
16 none of these
17 The process of finding a function whose derivative is given is called a Differentiation Integration Differential None
18 The set of all antiderivaties of f(= ∫f(x)dx) is the Definite integral Indefinite integral Integral Area
19 The function ø(x) is ananti derivativeof function f (x),x∈Df if ø′(x) =∫f(x)dx ø(x) =∫f(x)dx ø′(x) =f(x) ø(x) =∫′(x)dx
20 The number of arbitrary constants in the general solution of a differential equation is equal to the different equation Order Degree Variables All are correct
21 The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is 1.2% 1.5% 0.16% 100.16%
22 ∛8.6 is approximately equal to 2.488 2.48 2.0488 2.05
23 The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is 0.4cm 8.8πcm 17.6 πcm 35.2πcm
24 f(x)g(x)- ∫g(x) f′(x) dx is equal to ∫f(x)g′(x)dx ∫f′(x)g(x)dx ∫f′(x)g(x)′dx ∫f(x)g(x)dx
25 The area bounded by y = x (x2 - 4) and below x - axis is 4 0 -4 8
26 Archimedes approximate the function by horizontal function and the area under f by the sum of small Parallelograms Squares Retangles Polygons
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