idekkedi
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- Feb 1, 2021
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- HSC
- 2021
Packing I see...Suffering latex pain I c
Packing I see...Suffering latex pain I c
yesDo you mean
@Qeru here ya go m8, im outAt first, I thought you meant a much more difficult problem:
Surely theres no elementary anti-derivative to thisAt first, I thought you meant a much more difficult problem:
None that I am aware of.Surely theres no elementary anti-derivative to this
... that isnt the integral.Though I can give a 1 line answer:
He basically defined that integral as a function similar to the error function or Si(x) etc.... that isnt the integral.
am i missing something? this doesn't look like a one line answer.
what. it looks like he diffed the integral to get what's the integrand to me.He basically defined that integral as a function similar to the error function or Si(x) etc.
Have you tried this @CM_Tutor I'm pretty sure theres an anti-derivative it's just really tricky.Ok anyone want to try this (stumped me lol):
I don't see an obvious way to approach this. Integral calculator can't find an answer in elementary functions, which suggests that none of the common approaches will work. What makes you confident that there is an answer with the realm of MX2 possibilities?Ok anyone want to try this (stumped me lol):
I found it on this other forum for Calc 1 (forgot where). Also I found this hint: https://math.stackexchange.com/ques...he-integral-of-sqrt-sin-sqrt-x-cos-sqrt-x-1x2I don't see an obvious way to approach this. Integral calculator can't find an answer in elementary functions, which suggests that none of the common approaches will work. What makes you confident that there is an answer with the realm of MX2 possibilities?
This is much tougher than I first thought as you keep running into the exponential integral, (or a transform of it), being integrals such as
I found the transformations that are suggested there, and others, but none seems to lead in a productive direction.I found it on this other forum for Calc 1 (forgot where). Also I found this hint: https://math.stackexchange.com/ques...he-integral-of-sqrt-sin-sqrt-x-cos-sqrt-x-1x2
Not sure if that leads anywhere though
That's correct. what's the hardest integration problem that you have solved?This is much tougher than I first thought as you keep running into the exponential integral, (or a transform of it), being integrals such as
Transforms include the denominator being a linear function of or the numerator as . Properly, the exponential integral is defined (over the complex plane) as
and it cannot be expressed in elementary functions.
However, there is a closed form for this integral:
For those who want to try to solve the problem yourselves, you need to rewrite the integrand without creating terms of the form
where , , and , are constants and, in this case, or .
You will need something of the form:
where and are both of degree 1.
We know to leave alone as it is clearly a problem:
i.e. is a constant plus (or minus) the exponential integral.