Integration, from 0 to a, of root x / (root x + root(a - x))

alexa_xox

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Jan 23, 2009
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Hey! I have some homework due in tomorrow and I can't get my head around this question. I would be grateful if someone could help. :D
?_0^a?(?x)/(?x+?(a-x))

it's the integral between a and 0 of (root x divided by (root x plus root(a-x)))

the answer is a/2
and I think it would be useful to use
?_0^a?f(x)dx = ?_0^a?f(a-x)dx

thanks
 
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