integral help

mindshift

New member
Joined
Jun 12, 2005
Messages
9
me again, i was wondering if somebody could help me solve this integral"

∫√4x^2 - x^4 dx from 0 to 2
 

soroban

Elite Member
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Jan 28, 2005
Messages
5,588
Hello, mindshift!

√(4x<sup>2</sup> - x<sup>4</sup>) dx ... from 0 to 2
We have: . x(4 - x<sup>2</sup>)<sup>1/2</sup> dx

Then let u = 4 - x<sup>2</sup>
 

mindshift

New member
Joined
Jun 12, 2005
Messages
9
so then it would be -.5∫ xu^1/2 2 dx from 0 to 2. how would that work?
 

tkhunny

Moderator
Staff member
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Apr 12, 2005
Messages
9,931
Have you been introduced to the substitution method? You seem to be missing a very important piece.

If u = 4-x<sup>2</sup>,
Then du = -2*x*dx.

This should answer your question entirely.

If it doesn't entirely clear up your question, you require additional review in the method and should stop, back up, go review the section in your book, and give it another go.
 
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