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Okay this may sound stupid but i need a little help.what do $\\large \\frac{d}{dx}$ and $\\large \\frac{dy}{dx}$ mean $$\int {x^xdx} = \int {e^ {\ln x^x}dx} = \int {\sum_ {k=0}^ {\infty}\frac {x^k\ln. I need a thorough explanation

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Rankeya has given a valid answer to the written question, but i realize now i was too vague So there is no simple answer to your question, unless you are willing to consider a series approximation, obtained by expanding the exponential as a series Secondly, i looked up the correct exercise in jacobson and found that the following exercise is precisely to show that it does hold for all division rings

Stupid gut feelings.i'm accepting this answer and reposting the correct question.

To gain full voting privileges, According to symbolic matlab and wolframalpha, $\\frac{\\partial x(t)}{\\partial x} = 0, \\frac{\\partial x}{\\partial x} = 1$ i came across this while trying to. I understand the meaning of $\frac {dy} {dx}$ and $\int f (x)dx$, but outside of that what do $dy, du, dx$ etc. When i took calc i, derivatives and integrals.

You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful What's reputation and how do i get it Instead, you can save this post to reference later.

As noted in the comments, your derivation contains a mistake

To answer the question, this function can not be integrated in terms of elementary functions