Mutaja
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Homework Statement
0∫\sqrt{∏} xsin(##x^2## -1) dx
Not sure how I should be formatting this, but the square root of pi is 'on top of' the integral, and zero is 'below'. The expression to integrate is \sqrt{∏} xsin(##x^2## -1) dx.
The Attempt at a Solution
As sin integrated is -cos, I'm assuming that sin(##x^2## -1) integrated is -cos(##x^2## -1).
Using that logic, I get the following:
[-(\frac{1}{2}x cos (##x^2##-1)) + c] (square root of pi on top, 0 below).
[-(\frac{1}{2} ∏ cos(∏-1))] + cos(-1) = 0,308 (using radians)
I feel that the solution is a bit weird, that I should be left out with a simpler expression or an answer like 0 or 1.
Am I integrating correctly? I fear not.
Thanks for any input on this problem in advance.