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Best submitted over the internet by 1:00 PM on Monday 23 October 2017

Math 76O-250 Calculus for Business
Self-marking on-line assignment 8

The Anti-Power Rule; power rule for anti-derivatives
Best submitted over the internet by 1:00 PM on Monday 23 October 2017

Methods will be discussed in class

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Using a calculator is NOT allowed on this practice assignment.

THE ANTI-POWER RULE
FUNCTION FORMAT: If f (x) = xn , then f (x ) dx =   1  
n+1
xn+1 + C
OPERATOR FORMAT: xn dx =   1  
n+1
xn+1 + C

Note: until later in the semester, Prof. McFarland will give C (above) the value ZERO.
Note: also until later in the semester, Prof. McFarland will omit the "dx" to avoid its abuse.

[1] (value 10%)
x4 =
x

 
 

[2] (value 10%)
x =
x

 
 

[3] (value 10%)
1 =
x

 
 

[4] (value 10%)
 1 
x
=
x

[5] (value 10%)
 1 
x3
=
x
 
 

[6] (value 10%)

 x
=
x
 
 

[7] (value 10%)
x2x-4 =
x

 
 

[8] (value 10%)
x-1

 x
= x

 
 
  The integrand is "x-1 multiplied by

 x
  "

[9] (value 10%)
(
x2

 x
)
= x

 
 

[10] (value 10%)
x5.25 =
x

 
 
  The integrand is "x raised to the power of 5.25"

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