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**Integration Problems!!**

Help! I have a problem with the following:

1. Sketch the graph of the function y^2 = x^4(x+4) and find the area enclosed by the loop. -- I don't see any loop!

2. Find the area of the region enclosed by th curves y= x^2 and y^2=8x. -- The answer given in the back is 8/3, but I got 120/3. I don't know if the book is wrong or I am wrong.

3. Find the integral of Sin^-1 x (by dx) with the boundaries 0 and 1.-- I tried substitution and that didn't work. I need to get cos x in the numerator, but I couldn't figure out how.

4. Find the area of the region bounded by the curve y = 1 - (2/x), the x-axis and the line x=1.-- I got 1 as my answer, but the back of the book said it was 1-2ln2. The graph was a little odd as far as how the boundaries worked was concerned.

Any help would be GREAT! Thanks!