Question

what is the integral of 2/ (2x-x^2)^1/2
my guesses is sin^-1 (whatever) +c maybe ?

Answer 1

??

Answer 2

integral of ??

Answer 3

the integral of x/ (2x-x^2)^1/2

Answer 4

try completing squares ..
2x - x^2 = 1 - (1-x)^2

Answer 5

and let 1 - x = sin u,
x = 1 + sin u

Answer 6

not sure though ... haven't checked!!

Answer 7

the complete square u gave me is wrong its 1-(x-1)^2 i guess right ?

Answer 8

@quakeash , would you mind writing your question on drawing board again? Click the draw button below and rewrite your question on that

Answer 9

Is this your question ??

Answer 10

exactly

Answer 11

LOL ... it wasn't trig substitution,
http://www.wolframalpha.com/input/?i=integrate+x%2F%28sqrt%282x+-+x^2%29%29

Answer 12

It is pretty simple. First follow what @experimentX said