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Math 12 Chapter 3
Integration
Test - 8
1.
If f(x) is even function then
-a
∫
a
(fx)dx = 2
0
∫
a
f(x) dx.
a) False
b) True
2.
∫[f(x)]
n
f'(x) dx = [f(x)]
n+1
/n+1+C where n is any integer.
a) False
b) True
3.
Area under the curve is always taken positive.
a) True
b) False
4.
d(e
ax
) = ae
ax
a) False
b) True
5.
The arbitary constants involved in the solution of differential equation can be determined by initial values conditions.
a) False
b) True
6.
∫ sec x dx = ln ��sec x - tan x�� + C
a) False
b) True
7.
∫ a
kx
dx = a
kx
/ lna + c (a > 1)
a) True
b) False
8.
Volume of cube with length of a side x is x
3
.
a) True
b) False
9.
The degree of differential equation xd
2
y/dx
2
+ (dy/dx)
3
+ 1 = 0 is 2.
a) False
b) True
10.
The integral of product of two functions is the product of their integrals.
a) True
b) False
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