WorksheetsIntegration
Total questions: 17
Worksheet time: 1hrs 25mins
Name
Class
Date
1.
What is an antiderivative?
a)
The opposite of a derivative
b)
The same as a derivative
c)
A second derivative
d)
It always represents velocity.
2.
What does C represent in an antiderivative?
a)
A variable
b)
A constant
c)
None of these
d)
Unknown
3.
∫(4 - 18x)dx
a)
F(x) = -18
b)
F(x) = 4x - 9x2
c)
F(x) = 4x - 9x2 + C
d)
F(x) = (4 - 18x)2 /2 + C
4.
∫(3x⁴+2)⁴(12x³)dx
a)
½(3x⁴+2)⁴+C
b)
(3x⁴+2)⁴+C
c)
⅕(3x⁴+2)⁵+C
d)
⅓(3x⁴+2)⁶+C
5.
Integrate ∫3 dx
a)
= 0
b)
=x3+c
c)
= 3x +c
d)
=4+c
6.
Integrate ∫(x2+7)dx
a)
=2x+c
b)
=x3+7x
c)
=21x3+7x
d)
=31x3+7x+c
7.
∫(x4−ex)dx
a)
x24−xex+C
b)
4ln∣x∣−ex+C
c)
4ln(x)−ex+C
d)
4ln∣x∣+ex+C
8.
∫cos(3−4x)dx
a)
41sin(3−4x)+C
b)
4sin(3−4x)+C
c)
−41sin(3−4x)+C
d)
−4sin(3−4x)+C
9.
If y = axn , then ∫y dx =
a)
n+1axn+1
b)
n−1axn−1+ c
c)
naxn+1+ c
d)
n+1axn+1+ c
10.
∫6x(x+2)dx
a)
6x2+12x+C
b)
x2 −2x+C
c)
3x2+6x+C
d)
2x3+6x2+C
11.
∫ - sinx dx
a)
-cos x + C
b)
cos x + C
c)
tan x + C
d)
1/√1- x²
12.
∫ x+32dx=
a)
2ln|x+3|
b)
2ln(x + 3) + c
c)
21ln∣x + 3∣ + c
d)
none of these
13.
Integrate ∫(cos2x1−sinx)dx
a)
tanx−secx+c
b)
tanx+secx+c
c)
cotx−cosecx+c
d)
cotx+cosecx+c
14.
∫2x+4 dx
a)
x2 + 4x + c
b)
2
c)
x2 + 4x
d)
2x2 + 4x + c
15.
∫cos(4x+5) dx
a)
-¼sin(4x + 5) + C
b)
4sin(4x + 5) + C
c)
¼sin(4x + 5) + C
d)
4cos(4x + 5) + C
16.
∫−222−x2 dx
a)
62
b)
64/11
c)
56/3
d)
50/3
17.
∫24 x22 dx
a)
3
b)
½
c)
-3/2
d)
4/11
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