/sci/ - Science & Math » Thread #14185172

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Anons...Need help.

Anonymous Fri 04 Feb 09:31:05 2022 No.14185172 View Reply Original Report

Quoted By: >>14185179 >>14185223 >>14185582 >>14186426

is this solvable? If it's not , why?

Anonymous

Anonymous Fri 04 Feb 2022 09:33:02 No.14185179 Report

Quoted By:

>>14185172
Possibly an incomplete beta function

Anonymous

Anonymous Fri 04 Feb 2022 10:03:18 No.14185223 Report

Quoted By: >>14185233

>>14185172
Without being completely sure I would guess
$\int\sin x \sqrt{\sin x}\text{d}x = -\frac{2\cos x\sqrt{\sin x}}{3} + \frac{2}{3}F\left(\frac{2x-\pi}{4} \Big| 2\right) + C$
where $F$ is the incomplete elliptic integral of the first kind.

Anonymous

Anonymous Fri 04 Feb 2022 10:06:11 No.14185233 Report

Quoted By: >>14185250

>>14185223
Wow, that's just the answer wolfram alpha gave!

Anonymous

Anonymous Fri 04 Feb 2022 10:15:25 No.14185250 Report

Quoted By:

>>14185233
Ok since wolfram doesn't show steps here is my reasoning
$<br />I = \int \sin x \sqrt{\sin x}\text{d} x = -\cos x \sqrt{\sin x} + \int \frac{\cos^2x}{2\sqrt{\sin x}}\text{d} x \hspace{0.7cm} \text{ (integration by parts) } \\<br /> = -\cos x \sqrt{\sin x} + \int \frac{1-\sin^2x}{2\sqrt{\sin x}}\text{d} x = -\cos x \sqrt{\sin x} + \int \frac{1}{2\sqrt{\sin x}}\text{d} x - \frac{1}{2}I \\ <br />\implies \frac{3}{2}I = -\cos x \sqrt{\sin x} + \int \frac{1}{2\sqrt{\sin x}}\text{d} x <br />$

Anonymous

Anonymous Fri 04 Feb 2022 12:40:50 No.14185582 Report

Quoted By: >>14185623 >>14186421

>>14185172
Hey frens, is it possible for 31 to start doing math again for like a hobby? I was good at math up to 9th grade, then a fucked up teacher made me quit.

Anonymous

Anonymous Fri 04 Feb 2022 12:52:56 No.14185623 Report

Quoted By: >>14186421

>>14185582
No, you can't make good money doing hobby math. Try selling hobby math services to hobbyists, that might pay better.

Anonymous

Anonymous Fri 04 Feb 2022 17:20:31 No.14186421 Report

Quoted By:

>>14185582
>>14185623
Hey fr3ns, is it possible for 62 to do hobby sports? I was good at sports in 2nd grade, then a bad teacher made me quit.

Anonymous

Anonymous Fri 04 Feb 2022 17:23:08 No.14186426 Report

Quoted By:

>>14185172
Why do integrals have to be so much harder than derivatives?

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