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/sci/ - Science & Math

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3113140 No.3113140 [Reply] [Original]

How do I solve this?

>> No.3113144

With math.

>> No.3113148

>mfw you can't

http://www.wolframalpha.com/input/?i=integrate+e^%28sinx%29

>> No.3113158
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3113158

>>3113148
>mfw people use mfw and don't post a face

>> No.3113160

There's enough functions who have no clean formula description.
See, the error function

>> No.3113167

Wouldn't U-substitution work?

>> No.3113169

let du = cosx dx, then substitute u, then integrate e^u du

>> No.3113172

If I cannot solve it fully, can I atleast say something about the graph of the function?
Is it linear, sinusoidal, etc.?

>> No.3113176

there is no chain rule in integration, this makes integrating f(g(x)) quite difficult. Substitution sometimes works, but not always. As such, there isn't a simple anti-derivative for this function.

>> No.3113177

>>3113169
you're just pulling that cosx out of your ass aren't you.

fucking HS summerfags

>> No.3113179

>>3113169
hahahahahha

no

>> No.3113184

2 is the solution for every single math problem. A friend once told me, and it's true.

>> No.3113182

>>3113140
Complex analysis. Approximations.

>> No.3113181

>>3113169
You can't substitute in this equation, there isn't a cosx in the original equation to be part of the substitution.

>> No.3113187

>>3113172
http://www.wolframalpha.com/input/?i=e%5E%28sinx%29
Mathematica can probably plot the integral, though i don't know for sure

>> No.3113188

>>3113172
you can certainly say something about the graph. sin x oscillates between -1 and 1, so <span class="math"> e^sinx [/spoiler] will oscillate between <span class="math"> e^{-x} [/spoiler] and <span class="math"> e^x [/spoiler]

>> No.3113195

>>3113188
I could've sworn I used {} around my sinx there, oh well.

Obviously I meant <span class="math"> e^{sinx} [/spoiler]

>> No.3113197

No u substitution would not work the only way you could answer this is by using the trapezoidal rule. Look it up. Just make up a value for n

>> No.3113198

You sir have touched the weak point of Math

>> No.3113209

Thanks for the help guys, this is far above my head.
We aren't that far into integration yet, but what you helped with so far has really helped me. Especially the part about the graph of the funtion.
I'll talk to my teacher :)

>> No.3113210

>>3113197
>implying simpson's rule isn't superior.

>> No.3113220
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3113220

>>3113188
>mfw I read this back to myself

it oscillates between <span class="math"> e [/spoiler] and <span class="math"> e^{-1)[/spoiler]

fuck me, how did I mess that up and not notice?

>> No.3113225

>>3113220
>missing close brace

I give up. I'm leaving.

>> No.3113226

Any form of numerical integration will do the job :)

>> No.3113229

>>3113209
do you have a midterm tomorrow?