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Have I made any woopsies in this integration? watch

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    integral of (u-1)/((u+1)^2+1) du

    let tan s = u + 1

    so

    integral of (tans -2)/(tans^2(s)+1) * sec^2s ds

    = integral of tans -2 ds

    = -ln( cos( arctan(u+1) ) ) -u + c

    is this cool beanz
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    (Original post by ogloom)
    integral of (u-1)/((u+1)^2+1) du

    let tan s = u + 1

    so

    integral of (tans -2)/(tans^2(s)+1) * sec^2s ds

    = integral of tans -2 ds

    = -ln( cos( arctan(u+1) ) ) -u + c

    is this cool beanz
    Nearly. The second term isn't quite right though (integral of -2 ds = -2s+c, but what does s equal?)
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    It might look nicer if simplified to: (1/2)ln(u^2+2u+2)-2arctan(u+1)
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    (Original post by Mathematician!)
    Nearly. The second term isn't quite right though (integral of -2 ds = -2s+c, but what does s equal?)
    woops cheers
 
 
 
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