Bob A. answered 05/02/14
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Am I correct in interpreting the (cos-1q) to be cos(-1q) ?
Is the integral only that part above the line?
[ ∫-2 dq] / ((cos(-1q)) (√(1-2q))
[ ∫-2 dq] / ((cos(-1q)) (√(1-2q))
Then --
( ∫ -2 dq)/(cos(-q) √(1-2 q)) = -(2 q sec(q))/√(1-2 q)
Other forms of the answer are:
(2 √(1-2 q) q)/(2 q cos(q)-cos(q))
-or-
-(4 q)/((e^(-i q)+e^(i q)) √(1-2 q))
BUT - If the integral is meant to be the whole thing ∫-(2/((cos(-1q))√(1-2q)))dq
That is a tougher problem.
The result is:
The result is:
-2 ∫ [ √(1 - 2 q) Sec(q) dq]
Even Mathematica could not reduce it any further.