Yahoo Answers: Answers and Comments for Finding the area in calculus? [Mathematics]
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From Tony M
enSG
Mon, 24 Jun 2019 03:57:09 +0000
3
Yahoo Answers: Answers and Comments for Finding the area in calculus? [Mathematics]
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From llaffer: You already asked this and it had answers:
ht...
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Mon, 24 Jun 2019 04:02:08 +0000
You already asked this and it had answers:
https://answers.yahoo.com/question/index?qid=20190624023005AACZ8sz

From Ian H: ∫[1/ln(x)]dx has no simple function form
If...
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Mon, 24 Jun 2019 11:49:39 +0000
∫[1/ln(x)]dx has no simple function form
If you just require a value for
I ={x: 2 to 5)} ∫[1/ln(x)]dx it is ~ 2.58942453 (graphic calculator)
Wolfram Alpha gives it as Li(5) – Li(2) where
Li represents a special function, the logarithmic integral. It gives good approximation to the primecounting function, and if you scroll down to series in this link you can find a rapidly convergent series equivalent due to Ramanujan.
https://en.wikipedia.org/wiki/Logarithmic_integral_function

From az_lender: Google "logarithmic integral calculator&q...
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Mon, 24 Jun 2019 07:34:39 +0000
Google "logarithmic integral calculator" and
select the keisan.casio.com link,
to find li(5) and li(2),
then subtract li(5)  li(2) to get the answer.
A onetrapezoid use of the trapezoidal rule gives around 3.1;
three trapezoids gives 2.66;
six trapezoids gives 2.61;
lots and lots of trapezoids will get close to 2.58

From Nicknamethis: X=2(x) + 2(y) ghjiugnkijn
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Mon, 24 Jun 2019 04:13:01 +0000
X=2(x) + 2(y) ghjiugnkijn

From ?: Doesn't 1/ln(x) integrate into something r...
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Mon, 24 Jun 2019 04:11:22 +0000
Doesn't 1/ln(x) integrate into something really nice like e? I think it takes usub. Been a billion years since grammar school.

From Captain Matticus, LandPiratesInc: https://en.wikipedia.org/wiki/Logarithmic_inte...
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Mon, 24 Jun 2019 04:02:29 +0000
https://en.wikipedia.org/wiki/Logarithmic_integral_function
https://www.wolframalpha.com/input/?i=li(5)++li(2)