2 math problems

[Brandon237]

This thread alone could justify my execution under certain governments, I am sure of it

If you mean you badmouthing the school system, then: puh-leeeease.

I was referring to the horrific puns, people have likely killed for less

 

[Redingold]

K, how about this?

Let I =

e[sup]x[/sup]sinh(x)dx, and integrate by parts.

I = e[sup]x[/sup]cosh(x) -

e[sup]x[/sup]cosh(x)dx

I = e[sup]x[/sup]cosh(x) - [e[sup]x[/sup]sinh(x) -

e[sup]x[/sup]sinh(x)dx]

I = e[sup]x[/sup]cosh(x) - e[sup]x[/sup]sinh(x) +

e[sup]x[/sup]sinh(x)dx

I = e[sup]x[/sup]cosh(x) - e[sup]x[/sup]sinh(x) + I

0 = e[sup]x[/sup]cosh(x) - e[sup]x[/sup]sinh(x)

Expressing cosh(x) and sinh(x) as exponential functions give us

0 = e[sup]x[/sup]((e[sup]x[/sup] + e[sup]-x[/sup])/2 - (e[sup]x[/sup] - e[sup]-x[/sup])/2)

0 = e[sup]x[/sup]e[sup]-x[/sup]

0 = e[sup]0[/sup]

0 = 1

 

[DoPo]

This thread alone could justify my execution under certain governments, I am sure of it

If you mean you badmouthing the school system, then: puh-leeeease.

I was referring to the horrific puns, people have likely killed for less

Well yeah I don't know why you mentioned governments, though. I'm not aware of any government having an anti-pun policy. They do have an anti-pun secret police.