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# integrating inverse trigonometric functions watch

1. How would I find the following infinite integrals? I don't know what to do

thanks
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2. maths.docx (11.5 KB, 32 views)
3. Integrate them both with respect to x from x= 1 to x=a
Then you should get an expression for the area in terms of arctanx
Then find the limit of the integral - the answer you got in terms of a - as a tends to infinity. As arctanx has a horizontal asymptote at y= π/2 you should notice that there is a limit as a tends to infinity.
4. Some of us still have office XP and cannot see .dox files
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5. (Original post by B_9710)
Integrate them both with respect to x from x= 1 to x=a
Then you should get an expression for the area in terms of arctanx
Then find the limit of the integral - the answer you got in terms of a - as a tends to infinity. As arctanx has a horizontal asymptote at y= π/2 you should notice that there is a limit as a tends to infinity.

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