How would you dinghies question. I have the work, but I can't find a mistake.

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How would you dinghies question. I have the work, but I can't find a mistake.

AP Math
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Here is my work.
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|dw:1441657409641:dw|
You must use cos (2t) = 1-2sin^2 t so that sin^2 t = (1/2) - (cos (2t))/2 to plug in the integral. One more thing: if you let x = 2 sin t, then t = arcsin(x/2) , the limits change also when x = 0 , t = ...., x =1 , t=.... Replace all to work.

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Other answers:

Don't forget, if x from 0 to 1, t < pi/2
We're did you get the cos(2t) from?
That is an identity
http://www.purplemath.com/modules/idents.htm at "double angles identity"
Where is the double identity in the work?
I see it. Thank you!!!!
I retried it. Do you still find a mistake?
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I found one mistake. The answer is till not right though. :(
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