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Math 12 Chapter 3
Integration
Test - 5
1.
Choose the differential equation of straight line:
a) dy/dx + mx = C
b) dy/dx = m
c) dy/dx = mx + C
d) y = mx + C
2.
∫ a
x
dx = ?
a) a
x
/loga
b) xa
x-1
c) a
x+1
/x+1
d) a
x
loga
3.
What is the particular solution of the differential equation x dy/dx + 8 = 2y?
a) y = Cx
2
+ 4
b) y = x
2
+ 4
c) -Cx
2
+ 4
d) y = -x
2
+ C
4.
∫ odx = ?
a) 1/x
b) x
c) -1/x
2
d) Constant
5.
∫ (x+2)/(x+1) dx = ?
a) log
e
(x+1) + x
b) log
e
(x+1)
c) log
e
(x+1) + 1
d) log
e
(x+1) + x
2
+ C
6.
∫ (1 + x) / x dx = ?
a) log x + 1
b) log x + x
c) log (xc)
d) log x - 1
7.
What is the general solution of the differential equation dy/dx = 3x
2
?
a) y = 6x + 1
b) y = x
3
+ 1
c) y = x
3
+ C
d) y = 6x + C
8.
Reverse process of differentiation.
a) Infinite
b) Family of curves
c) None of these
d) Integration
9.
Which one of the following is the differential equation of x + y + c = 0?
a) dy/dx = x
2
/2
b) dy + dx = 0
c) x
2
/2 + y
2
/2 + cx = 0
d) dy/dx + dx/dy = 0
10.
∫ e
x
(sec x + tan
2
x) dx = ?
a) e
x
sec
2
x
b) e
x
tan
2
x
c) e
x
tan x
d) e
x
sec x
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