Wednesday
July 23, 2014

Homework Help: Calculus

Posted by Anonymous on Wednesday, June 4, 2008 at 10:21pm.

integral 0 to sqrt(3) dx/sqrt(4-x^2)
I don't understand why the answer is pi/6. I get pi/3. Thanks for the help!

Work:
u=x/2 du=1/2dx 2du=dx
2/2sqrt(1-u^2)

sin^-1(x/2)
sin^-1(sqrt(3)/2)= pi/3

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