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# /sci/ Science & Math

Stupid athiests
I am having a hard time trying to find the integral of x csc^2(6x)dx using integration by parts where I chose f(x) = x and g(x) = csc^2(6x). My answer was way off I got x csc^2(6x) + 1/6 cot(6x) + c. Any tips?
Ok so say you have a simple conjecture about naturals. You could run a program that tests numbers all day long. Maybe you'll find a counterexample, probably not. It's not exactly a great idea, I got it. So I'm interested in large numbers that are counterexamples to theorems about integers, maybe that took a long time for mathematicians to find. Also, are there any statements that are true for almost all naturals except for maybe an unexpected few (not 1,2 or 3, but large numbers)

### philosophy

Philosophy...questions that will never be solved, But we all believe in different theories So, im curious, what do you think is your solution to these answers. and why and why not? >Do we have free will? >Do you think morals actually exist? >what's the meaning of life? >What makes you feel alive? >why is there something rather than nothing? >What is reality?
I heard that magnets send out virtual photons that travel forever. Aren't those photons breaking energy conservation by existing?
Ok so between EE and Aerospacial Engineering, which is the most profitable and requested job?
hello science guys. is there a legitimate cure for this? or am i fucked?

### LIFE MAY YET BE FOUND ON THE RED PLANET!!!

http://www.examiner.com/article/mars-did-and-might-have-life-says-nasa-boss
Let's say I missed out on A LOT of basic elementary algebra in the school and would like to relearn the basics which are most likely the fundament for higher mathematics. Still, I'm seem to struggle with basic exponents rules, logarithms rules, factorise etc. The best practice would be not to memorize them but further 'understand' them. But at some point, I still don't remember them. So what is coming for some naturally, won't stick to me. Wat do? Just looking for some tips helping remembering them or any other useful learn-tips.
Do magnets get weaker over time? Normal magnets... like metal ones. Not electro magnets. Like does the magnetic field become weaker the older the magnet gets? On a friend for example. New magnets seem to stick better to the fridge than older ones.

### Guessing Game

Suppose you are captured and imprisoned by a powerful Demon in the Netherworld. He says he intends to keep you in his Netherworld dungeon forever, unless you can perform a simple task correctly. The Demon tells you he is thinking of a real number. The Demon says he will free you instantly if you can correctly guess the real number he has in mind. He says he will allow you to make one guess per day for as looooong as you wish, and promises never to change the real number he is thinking of. In case you ever have trouble thinking up a real number, the Demon is very kind to provide you with a Real Number Machine that he claims is "totally and completely random" that you can use as often as you like. ----- Questions: 1) Assuming you give it your best, are you guaranteed to eventually be set free by the Demon ? 2) What is the probability of guessing correctly on the very first try ? 3) Suppose the Demon tells you the real number is between 0 and 1, and after each guess he tells you "higher" or "lower" to help you. How does this affect the task of freeing yourself ?

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