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WorksheetsCalculus Antiderivatives
Total questions: 25
Worksheet time: 54mins
Name
Class
Date
1.
Given v(t) = x-9, find the general equation for the antiderivative.
a)
(1/8)x-8 + C
b)
(-1/8)x-8 + C
c)
(1/10)x10
d)
(-1/8)x-8
2.
∫(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
3.
∫ t⁶ dt
a)
6t⁵
b)
6t⁵ + C
c)
1/7 t⁷ + C
d)
t⁷ + C
4.
∫ - sinx dx
a)
-cos x + C
b)
cos x + C
c)
tan x + C
d)
1/√1- x²
5.
∫(4/x - ex ) dx
a)
4ln x - ex
b)
4 ln x + ex + C
c)
4 ln x - ex + C
d)
4/x2 - 4ex + C
6.
∫ x(x2 - 4) dx
a)
x2/2(x3/3 - 4x) + C
b)
.25x4 -2x2 + C
c)
3x2- 4 + C
d)
x4 - 4x2 + C
7.
∫25sec2x dx
a)
25 secx tanx + C
b)
25 tanx + C
c)
-25 tanx + C
d)
-25 sec x + C
8.
∫sec2x dx =
a)
-cotx + C
b)
cotx + C
c)
-tanx + C
d)
tanx + C
9.
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.
10.
Integration is...
a)
...the finding of an integral or integrals
b)
...somehing I've learnt in Tadika
c)
...a differentiation of x^2 to become 2x
d)
...an antiderivative
11.
When do you add C when finding antiderivatives?
a)
Always
b)
Sometimes
c)
Never
12.
What does C represent in an antiderivative?
a)
A variable
b)
A constant
c)
None of these
d)
Unknown
13.
Find the antiderivative of
(1/3)x3-5x
(1/3)x3-5x
a)
(1/12)x4-(5/2)x2+C
b)
(1/4)x4-(1/2)x2+C
c)
(1/12)x3-(5)x2+C
d)
(12)x4-(5)x2+C
14.
a)
-3x+C
b)
0
c)
-3x
d)
-1/3x+C
15.
a)
-3x3+5x2+C
b)
-9x3+10x2+C
c)
-3x2+5x+C
d)
-x3+x2+C
16.
a)
-1/x4+C
b)
-x4+C
c)
x-4+C
d)
-4/x4+C
17.
Integrate:
a)
x-2 + C
b)
-2/x³ + C
c)
-1/x + C
d)
2/x + C
18.
Integrate:
a)
x1/2 + C
b)
1/(2√x) + C
c)
3/2*x3/2 + C
d)
2/3*x3/2 + C
19.
Determine the integral rule of the given expression:
a)
½c² + C
b)
ln|c| + C
c)
cx + C
d)
½cx² + C
20.
a)
-½x-2 + C
b)
-⅖x-5/2 + C
c)
2x1/2 + C
d)
-2x-1/2 + C
21.
a)
-sec x + C
b)
sec x + C
c)
tan x + C
d)
tan2 x + C
22.
a)
A
b)
B
c)
C
d)
D
23.
a)
A
b)
B
c)
C
d)
D
24.
∫ 3ex dx
a)
ex /3
b)
ex + C
c)
3ex+1/(x+ 1) + C
d)
3ex + C
25.
a)
-3x+C
b)
0
c)
-3x
d)
-1/3x+C
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