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Math 12 Chapter 3
Integration
Test - 3
1.
The highest order derivative in the differential equation is the _________________. of the differential equation.
a) Lower
b) Order
c) Range
2.
∫ e
x
/1+e
x
dx = _____________
a) ln ��1+e
x
�� + C
b) ln ��1+e
x
�� + C
3.
f(x) = x
2
, when x =2 and dx = 0.01. Which one is true?
a) dy = .02
b) dy = 2.01
c) dy = 0.001
d) dy = 0.0001
4.
Which one is correct?
a) ∫ Sec
2
x dx = tan
2
x + C
b) ∫ Cosec
2
x dx = Cotx + C
c) ∫ Sec
2
x dx = -tanx + C
d) ∫ Cosec
2
x dx = -Cotx + C
5.
The term f ' (x) dx is called_____________ of the dependent variable y.
a) Anti-derivation
b) General
c) Differential
6.
If I = ∫ (5x+8)/(x
2
-5x+6) dx, choose the correct partial fractions of (5x+8)/(x
2
-5x+6)
a) A/(x-3) + B/(x-2)
b) A/(x+2) + B/(x+3)
c) (Ax+B) / (x
2
-5x+6)
d) None of these
7.
The solution obtained by giving a particular value to arbitrary constant in general solution is ____________________of the differential equation.
a) Not a particular solution
b) Constant solution
c) Particular solution
8.
Which one is the anti derivative of 1/x?
a) -1/x
2
+ C
b) None of these
c) ln��x�� + C
d) ln��x
-1
�� + C
9.
The interval [a,b] is called the _________________. of integration in
a
∫
b
f(x) dx
a) General
b) Range
c) Order
10.
If an integrand involves √x
2
-a
2
, which one is the suitable substitution?
a) x = a tan θ
b) a sec θ
c) x = a sin θ
d) x-a = a sin θ
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