Recent content by Azureflames

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    Integration, trig with double substitution

    Okay, after you told me my first step was wrong, I started over. I looked at the half angle double angle stuff and didn't like how it was looking so I tried a similar approach to my first but fixed the first step. My solution: Integral ( cos(x)/(1+cos(x))^.5 dx) Conjugate/trig identities...
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    Integration, trig with double substitution

    Homework Statement Integral ( cos(x)/(1+cos(x))^.5 dx) Homework Equations The Attempt at a Solution Integral ( cos(x)/(1+cos(x))^.5 dx) Square it Integral ( cos(x)^2/(1+cos(x) dx) Multiply by the Conjugate Integral ( cos(x)^2/(1+cos(x) * (1 - cos(x))/(1 - cos(x)) dx)...
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    Integrate x/(x^2-2x+5): Clarifying Steps

    Homework Statement Hi, I'm trying to take the integral of x/(x^2-2x+5) dx but I'm not sure what to do. Homework Equations The Attempt at a Solution I started by completeing the square in the denominator giving me the integral of x/((x-1)^2+4)) dx but I am not sure where to go...