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integrating inverse trigonometric functions watch

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

    thanks
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    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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    Some of us still have office XP and cannot see .dox files
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    (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.
    thanks that was really helpful
 
 
 
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Updated: September 10, 2015
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