WorksheetsAntiderivative
Total questions: 15
Worksheet time: 45mins
Name
Class
Date
1.
∫ 4 dx
a)
0
b)
4t + C
c)
4x + C
d)
2x2 + C
2.
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
3.
Find the antiderivative of
x2
x2
a)
(1/3)x3+C
b)
x3
c)
(1/3)x3
d)
2x
4.
∫ t⁶ dt
a)
6t⁵
b)
6t⁵ + C
c)
1/7 t⁷ + C
d)
t⁷ + C
5.
∫(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
6.
∫2x dx
a)
x2 +c
b)
2x2 +c
c)
2+c
d)
2x+c
7.
∫3x2+4x dx
a)
x3+4x2+c
b)
x3+2x2+c
c)
23x3+4x2+c
d)
3x3+4x2+c
8.
∫6x4+3x2+5x +5 dx
a)
5x5+3x4+5x2 +5x
b)
5x5+3x3+5x2 +5x
c)
56x5+x3+5x2 +5x +c
d)
56x5+x3+25x2 +5x +c
9.
∫7 dx
a)
0
b)
7+c
c)
7x+c
d)
-7x+c
10.
a)
-(24/4)x4+C
b)
-4x6+C
c)
-4x5+C
d)
-24x6+C
11.
a)
-3x+C
b)
0
c)
-3x
d)
-1/3x+C
12.
Determine the integral rule of the given expression:
a)
n*xn-1 + C
b)
(n+1)*xn+1 + C
c)
1/n-1 * xn-1 + C
d)
1/n+1 * xn+1 + C
13.
∫ - sinx dx
a)
-cos x + C
b)
cos x + C
c)
tan x + C
d)
1/√1- x²
14.
Find f(x) if f '(x) = 2x5
a)
10x4 + c
b)
5x6 + c
c)
⅓ x6 + c
d)
10x6+ c
15.
There are a finite number of antiderivatives for any f'(x).
a)
True
b)
False, infinite
100 %
