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Math 12 Chapter 3
Integration
Test - 4
1.
Which one is the correct value of ∫ x
3
dx?
a) None of these
b) 28
c) 24
d) 20
2.
What is the degree of the differential equation d
2
y/dx
2
+(dy/dx)
3
+3 dy/dx = 2x
a) Six
b) One
c) Three
d) Two
3.
Choose the correct response to ∫ e
x
(1/x + lnx) dx:
a) e
x
(1/x) + C
b) e
x
lnx + C
c) e
x
(1+lnx/x)
d) e
x
lnx/x + C
4.
What is the area bounded by the line y =2 and the x-axis from -1 to 1?
a) 4
b) 2
c) 1
d) 0
5.
If
-2
∫
1
g(x) dx = 5;
1
∫
3
g(x) dx = 4, choose the correct one:
a)
-2
∫
3
g(x) dx = 0
b)
-2
∫
3
g(x) = 9
c)
-2
∫
3
g(x) = 1
d)
-2
∫
3
g(x) dx = 45
6.
Give the solution of the differential equation x dy/dx = y + 1:
a) y = cx + 1
b) xy = y + C
c) y = cx - 1
d) xy' = y + C
7.
Which one is the area bounded by the x-axis and graph of sine curve from -π to π?
a) 0
b) 4
c) None of these
d) 2
8.
Which one of the following is correct?
a) None of these
b) A differential equation involves at the most one term containing derivative.
c) A differential equation involves exactly one term containing derivative.
d) A differential equation involves at least one term containing derivative.
9.
What is the order of the differential equation d
2
y/dx
2
+(dy/dx)
3
+3 dy/dx = 2x
a) Three
b) One
c) Two
d) Six
10.
Which one is not the anti derivative of x√x
2
+1?
a) 1/3 (x
2
+1)
3/2
+ C
b) 1/3 (x
2
+1)
-3/2
+ C
c) 1/3 (√x
2
+1)3 + C
d) 1/3 (x
2
+1)
3/2
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