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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

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

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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