Recent content by Ahmed Mehedi

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    Are open access journals legit for my CV?

    ArXiv is not a journal. Nor a publishing house. It is simply a preprint repository which is essentially not peer reviewed.
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    Are open access journals legit for my CV?

    Yes it is usually true that a journal in the second quartile does not generally hunt for papers like this. But, being established in 2015 it has already published some articles that are cited nearly 100 times which is not an easy feat. I have attached a few of its highly cited articles for your...
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    Are open access journals legit for my CV?

    You may check Scimago journal ranking to judge the quality of a journal quite easily and to some extent comprehensively. 1. International journal of quantum foundation is not listed in Scimago which is a negative. 2. For the journal 'Universe' it is listed in Scimago. It has an impact factor...
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    I Derivative of a definite integral

    Thank you very much for your revealing answers! Now, I clearly get the point!
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    I Derivative of a definite integral

    Thank you very much!
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    I Derivative of a definite integral

    Thank you very much for your response! I have one last question in this regard. Are the following three steps correct in the context of indefinite integral: $$\int f(x)dx=\int g(x)dx$$ $$\frac{d}{dx}\int f(x)dx=\frac{d}{dx}\int g(x)dx$$ $$f(x)=g(x)$$
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    I Derivative of a definite integral

    @TheDS1337 @Math_QED @etotheipi
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    I Derivative of a definite integral

    Yes I got it. But the thing I really wanted to know is in the comments section. I am tagging you there.
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    I Derivative of a definite integral

    Assume ##f(x)=x^2## and ##g(x)=(x-a)^2##. Both are continuous. Area under them are equal. Yet ##f(x)\neq g(x)##
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    I Derivative of a definite integral

    I guess that does not help much. g(t) can be any time-shifted version of f(t). Area under them may be equal while functions themselves are not.
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    I Derivative of a definite integral

    This will also serve the purpose I guess. But, both of the approaches have one serious flaw. In the first line we are assuming equality between two integrals. While in the third line we are deriving the equality between the two integrands of the 1st line. That is we are claiming that equality of...
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    I Derivative of a definite integral

    I intuitively look at the following steps. I would be happy if you point me out my mistakes if there is any: $$\int f(x)dx=\int g(x)dx$$ $$\frac{d}{dx}\int f(x)dx=\frac{d}{dx}\int g(x)dx$$ $$f(x)=g(x)$$ $$f'(x)=g'(x)$$ $$\int f'(x)dx=\int g'(x)dx$$ Above steps appear to serve the purpose. But...
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    I Derivative of a definite integral

    I will try expanding both of them using TS and check. Thanks for your suggestion!
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    I Derivative of a definite integral

    I guess examples may reject or accept the claim. But they don't comprise a proof of the claim. I want to know whether it can be used as an identity irrespective of any special circumstances.
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    I Derivative of a definite integral

    Now I wants to know about the indefinite integral. But, I would be happier if you discuss both.
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