Having troubl with this integration

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edough
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Homework Statement



Integrate 4X * sqrt( 4-X^2) dX from [-sqrt(2), sqrt(2)]


Homework Equations


Should I use integration by parts?



The Attempt at a Solution

 
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Trig sub should work
 
Neither integration by parts nor a trig substitution. Let [itex]u= 4- x^2[/itex].