Find the definite integral. 10 points
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Find the definite integral. 10 points

[From: ] [author: ] [Date: 11-05-12] [Hit: ]
You should be able to get to the answer from there-http://www4d.wolframalpha.......
Solve
∫ lower limit 01. upper limit 2. x^(5) - x^(-1) / x^2 ; dx
The answer is 27/8 but how did they get that?

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Ok, to take the integral the easiest thing first is to simplify your problem

(x^5 - x^-1)/x^2
x^5/x^2 - x^-1/x^2
x^3 - x^-3

From here integration is a snap, using basic rules that integral of x^a = (x^(a + 1))/(a + 1)
The integral of our problem is

(x^4)/4 - (x^-2)/(-2)

x^4/4 + x^-2/2

You should be able to get to the answer from there

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http://www4d.wolframalpha.com/Calculate/…
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