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How to integrate ((e^(x^2))*x^5)/(cos(2*(x^3)-2(x^2) +ln(x)*x-5)

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How to integrate ((e^(x^2))*x^5)/(cos(2*(x^3)-2(x^2)+ln(x)*x-5) ?

Not even wolphram is giving me anything, fuck elementary real-valued functions not being closed under integration.
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>>8086167
You need to ask on SE and wait for cleo to post an answer.
>>
das big ;))
[eqn]f\left(x\right)=\frac{\left(\left(e^{\left(x^2\right)}\right)\cdot x^5\right)}{\cos \left(2\cdot x^3-2\cdot x^2+\ln \left(x\right)\cdot x-5\right)}[/eqn]
[eqn]\int _0^xf\left(t\right)dt[/eqn]
https://www.desmos.com/calculator/imi6mtzyy1
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>>8086167
Have you tried running this:
https://en.wikipedia.org/wiki/Risch_algorithm
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>>8086172
I'm not going to bother the guys at SE since they take these things very seriously.

But how does one even begin searching for this integral? I'm in the best engineering uni in my country and pretty much not one of my peers can solve this.
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>>8086167
+85

Solve your own homework or ask your college why this question is retarded / its a typo they need to recheck..
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>>8086180
This is obviously not homework nor something they would ever ask you to solve.

I'm just looking for some theory on how to integrate "complex" elementary real-valued functions which I find is quite lacking in my uni course.

>>8086175
No but it's a start.
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>>8086185
>((e^(x^2))*x^5)/(cos(2*(x^3)-2(x^2)+ln(x)*x-5)
e^(x^2) x^4 sec(5+2 x^2-2 x^3-x log(x)) (5+2 x^2-x (1-4 x+6 x^2+log(x)) tan(5+2 x^2-2 x^3-x log(x)))
source: wolfram.
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>>8086211
>((e^(x^2))*x^5)/(cos(2*(x^3)-2(x^2)+ln(x)*x-5) ?
er nvm, thats the deriv... ..
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>>8086211
>>8086217
The integral is probably not elementary and will likely require integrating series along with some some wacky substitutions.
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>>8086167
>fuck elementary real-valued functions not being closed under integration.
lol, you don't even know what you're saying, little engineer brainlet
>>
Learn to close your parenthesis. Also, there is a high likelyhood that the indefinite integral cannot be expressed in terms of elementary functions. If I were you, I would pick up a few books on special functions.
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>>8086172
just checked the whole deal with cleo. jesus christ is SE filled with low esteem autists or what. why would people get that fucking butthurt over quick answers without proofs, because they can't claim fame by being the first ones to solve?
Thread replies: 13
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