tywebb's latest activity

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    tywebb replied to the thread mif vectors.
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    tywebb replied to the thread Coroneos 4 unit 100 integrals.
    Project Academy have a pdf here : https://drive.google.com/file/d/1g7PhX9K1YLB972zFu83kqdM1hVb6RklP/view It came out in 1967 in the...
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    tywebb replied to the thread Integration Problem.
    This is from the old Coroneos 100 Question 17 There are somewhat inefficient methods of solution, such as in Lumi's 2008 solutions...
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    tywebb replied to the thread 2 Minutes for this? No chance.
    |z|=\sqrt{\cos^4\theta+\sin^4\theta}=\sqrt{1-\frac{1}{2}\sin^22\theta}...
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    tywebb replied to the thread definite integral.
    alternatively, u know \tan\theta-\sec\theta=1-\frac{2}{\tan\frac{\theta}{2}+1} and so \int_0^\frac{\pi}{2}\frac{1}{\sin\theta+1}\...
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    tywebb replied to the thread definite integral.
    yeah u can actually did u know that...
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    tywebb replied to the thread definite integral.
    now we redo the original question. i don't think at this stage we need to give up on your method. it works! but just other way around...
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    tywebb replied to the thread definite integral.
    u know why this? i show u now \begin{aligned}\lim_{\theta\rightarrow\frac{\pi}{2}}(\tan\theta-\sec\theta)...
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    tywebb replied to the thread definite integral.
    technically in the context of this integral one only needs to do the left-sided limit...
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    tywebb replied to the thread definite integral.
    u can do limit \lim_{\theta\rightarrow\frac{\pi}{2}}(\tan\theta-\sec\theta)=0
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    tywebb replied to the thread definite integral.
    here another way \int_0^\frac{\pi}{2}\frac{1}{\sin\theta+1}\...
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    tywebb replied to the thread definite integral.
    It's the other way around \frac{1}{\sin\theta+1}=\sec^2\theta-\tan\theta\sec\theta Answer is 1 and...
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    tywebb replied to the thread sums and and products of roots.
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    tywebb replied to the thread Coroneous '*' Notation.
    as i said before it is out-of-print it didn't come with ebook either nevertheless a small part of it is available online - lumi's...
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    tywebb replied to the thread Coroneous '*' Notation.
    That's great! Are you aware that this has been done before? - by Jose Lumi back in 2008 but I think it's out-of-print now i have them...
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