Recent content by vilhelm

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    MHB Can you evaluate this integral using series and historical methods?

    Ok, so first the precious question, and now: I try to find primitve functions. Wolfram Alpha primitive \frac{1}{x^{2}-x+1}-\frac{x}{x^{2}-x+1} - Wolfram|Alpha and I disagree My answer is this 4/3arctan(?4\?3*(x-1/2))+1/2(ln(x^2-x+1)+4/3arctan(?4/?3(x-1/2 - Wolfram|Alpha))) And here are my...
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    MHB Inequality with absolute value.

    Re: Inequality with abs Would this be a better answer "for x<-1 we have x<1 and for x>-1 we have x<5" since it's a bit more broad?
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    MHB Inequality with absolute value.

    Re: Inequality with abs Isn't $x<5$ the correct answer?
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    MHB Inequality with absolute value.

    Re: Inequality with abs I tried this (you can pretty much ignore the table and go straight to case a and case b. http://cl.ly/image/1Z1O0j1E2a0y
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    MHB Inequality with absolute value.

    Solve 2x - |x+1| < 4.
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    MHB Can you evaluate this integral using series and historical methods?

    But for the arctan(u) and ln(1+u^2) should I take the limit as n goes to infty? How is that done? Thanks.
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    MHB Help With Solving Integral of (sinx)^2/x

    And in this case, a is indeed $-\infty$ and b is indeed $\infty$.
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    MHB Help With Solving Integral of (sinx)^2/x

    So the view that integral from a to b for f(x) is the area under that curve, is not an exact view in this case?
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    MHB Help With Solving Integral of (sinx)^2/x

    Wouldn't it be very obvious how it behaves when x approaches infty – since for very large x, the denominator would be very large, but the numerator is periodic. So the fraction approaches 0. Correct or wrong?
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    MHB Help With Solving Integral of (sinx)^2/x

    So, I'm correct?
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    MHB Help With Solving Integral of (sinx)^2/x

    What about this argument: we know how the graph of sin^2(x) looks, since we can write it in terms of cos(2x). and sin^2(x) is divided by x, so we can actually understand how the graph looks for any x except zero (put it in you grapher and see). for the given function, we have f(x)=-f(-x) for...
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    MHB Can you evaluate this integral using series and historical methods?

    Sorry, wrong image. Here is the correct one. https://www.dropbox.com/s/bghijxpzobb1f5o/2013-10-27%2020.26.56.jpg
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    MHB Can you evaluate this integral using series and historical methods?

    Here is my attempt. I'm still a bit stuck... https://www.dropbox.com/s/9gub6zq02b5235b/Screenshot%202013-10-26%2021.13.45.png
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    MHB Can you evaluate this integral using series and historical methods?

    Here is my attempt https://www.dropbox.com/s/fsdkk8a189lk54o/2013-10-26%2015.38.38.jpg
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    MHB Can you evaluate this integral using series and historical methods?

    First calculus course, so I have not learned that. - - - Updated - - - Thanks, I'll try it and update with my progress.
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