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  • Why is the exponential integral $\operatorname {Ei} (x)$ the . . .
    $$\operatorname {Ei} (x)=\operatorname {Ei} (-1)-\int_ {-x}^1\frac {e^ {-t}}t~\mathrm dt$$ which are both easily differentiated using the fundamental theorem of calculus, now that we have finite bounds, and the chain rule to get $$\operatorname {Ei}' (x)=\frac {e^x}x$$ Note that where you choose to split the integral is arbitrary
  • Quiz: Spelling- ie or ei? - UsingEnglish. com
    Quiz: Spelling- 'ie' or 'ei'? This is a beginner elementary-level quiz containing 10 multichoice quiz questions from our 'spelling and punctuation' category Simply answer all questions and press the 'Grade Me' button to see your score This exercise is also available as a printable worksheet
  • Inverse function of the Exponential Integral $\\mathrm{Ei^{-1}}(x)$
    The Exponential integral is defined by $$ \\mathrm{Ei}(x) = \\int_{-\\infty}^x \\frac{e^t}{t} \\mathrm dt, $$ and has the following expansion $$ \\mathrm{Ei}(x
  • Prove that $e^ {i\pi} = -1$ - Mathematics Stack Exchange
    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
  • e. i. or e. g. ? | UsingEnglish. com ESL Forum
    First, it's not "e i" it's "i e " Both "i e " and "e g " are from Latin and have different meanings and uses: i e = "id est" which means approximately "that is [to say]" Use it to expand further on a term or statement: The countries of North America, i e , Canada, the US and Mexico e g = "exempli gratia" which means approximately "for [the sake of] example" Use it to introduce an example or
  • How Do I Understand $e^i$, the Euler Form of Complex Number
    Intuition comes from knowledge and experience! Learning facts about complex exponentiation then making use of those facts to solve problems will build your experience
  • How to prove Eulers formula: $e^{it}=\\cos t +i\\sin t$?
    Could you provide a proof of Euler's formula: $e^{it}=\\cos t +i\\sin t$?
  • The Asymptotic Expansion of The Exponential Integral
    I was reading R Wong's book on Asymptotic Approximations of Integrals, and I'm having problems with the derivation of the asymptotic expansion of the exponential integral which he defined as follo





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