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0(4-2x)dx=4 , find the value of a    smiley

 Feb 22, 2016
edited by Guest  Feb 22, 2016
edited by Guest  Feb 22, 2016

Best Answer 

 #2
avatar+33659 
+25

Hmm.  You might want to check your analysis Misaki.  I get the following:

 

integral

.

 Feb 22, 2016
 #1
avatar+333 
+5

First solve the indefinite integral

\(\int 4-2x dx=4x-x^2+c\)

Find boundaries 

\(\int_{0}^{a}4-2xd=-(a-4)a-0\)

Simplify 

\(-(a-4)a\)

\(-(a-4)a=4 \)Solve for a

\(a^2=8\)

\(a=\sqrt{8}\)

\(a=2\sqrt{2}\)

 Feb 22, 2016
 #2
avatar+33659 
+25
Best Answer

Hmm.  You might want to check your analysis Misaki.  I get the following:

 

integral

.

Alan Feb 22, 2016
 #3
avatar+333 
+5

Ahh thank you very much! 

Sorry for the mistake the correct answer is actually 2, i made a mistake during the ''solve for a'' part. So instead of \(2\sqrt{2}\) the correct answer is \(2\)

 Feb 22, 2016

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