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posted by  jrod85 on 11/23/2008 1:10:12 PM  |  status: Closed  

antiderivative

Course Textbook Chapter Problem
Calculus N/A N/A N/A
Question Details:
Find f.

f '(x) = √x(9 + 5x)
f(1) = 9
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Oracle
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posted by Altair on 11/23/2008 1:18:05 PM  |  status: Live
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jrod85's comment:
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Response Details:
 
f(1) = 6+2 + C = 9
 
=> C = 1
 

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Oracle
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posted by slanders09 on 11/23/2008 1:26:23 PM  |  status: Live
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Response Details:
First we will simplify the equation.
 
 
To find f(x) we integrate f '(x) . . .
I found this integral by using the power rule.
 
Now we know that f(1) = 9, so we must solve for C to determine our acual equation
So we evaluate the function at 1 and set it equal to 9 . . . .
 
6 + 2 + C = 9
8+ C = 9
C = 1
 
Replace C in our equation and we get our final antiderivative is . . .
 
 
 
Hope it helps!!!
 
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