SOLUTION: integral of x cos^-1 x dx

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Question 697886: integral of x cos^-1 x dx
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Use Integration by Parts:



Let

Then from any standard table of derivatives:

So

And

So

Then substituting into the Integration by Parts formula:



To calculate the remaining integral, let

Then

Then

And then

But since ,



Rewrite:






Then since , and , so:



Finally, putting the pieces back together:



John

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