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It's not continuous. My high school text does not involve the integral of non-continuous function. Unless you mean I have to tackle it using the definition of definite integral... Well that's a very good time killer.
Edit: I checked on the internet about improper function and it says just use limit to deal with the zero. That gives me 6. But wolfram does not agree and it says that it involves complex number. The problem is I haven't learned about complex yet, let a lone the combination of complex number and definite integral.
... Well I hope the professors at my school think along the same line... I lose half of my points in my tests and exams because of these stupid questions... Require the knowledge of some equations you can just look them up in wiki. I'd be lying if I say I'm not angry about this. Not to mention the dubious look of the prof when I told him I was considering to shift my career path to maths, because I didn't even know a + b ≥ √(ab) in my test and I had to prove it all over from sketch, which cost me half an hour after the test. And turns out the prof only expected us to write that line only to constitute the proof of another equation... Sounds like an insult to my intelligence. Wonder why I have been DYING to study somewhere out of this hell of academia... Sorry, never meant to be that bitter. I guess I was getting just a little too overwhelmed to know there is professor who agrees that remembering equations does not equate to mathematical ability...
I do take notes when I read the text because my memory is extremely awful. I understand the logic, but it takes me a month to actually remember what the theorem is... And so I need to go through them once before I step into the examination centre. I have all the trigonometric functions equations with me in a small notebook, because I can never remember what is cos(a+b). I keep hoping when I go into more advanced maths, I am allowed to at least bring my notebook... I'm not fond of reciting all those equations... I can only remember an equation if there is meaning in it. I mean the point-slope form doesn't really need memorising once you understand how it works...
I did pay attention in class, and did not miss lectures much. I also did the reading in my technical classes (but not in the humanities). I quit taking notes when I was a sophomore in college, because I realized I never went back and looked at them.
Thanks, really. I have been busy packing my stuff after returning from mainland China back to my home (got a souvenir for you, wait for my email! ). I have to spend the following two weeks for my graduation essay too (urgh, my last though). After that I will graduate from this psychology degree and devout all my time to maths, saving money and music!
By the way mind checking my late joining of the sliding party?
The fun is over!?? I've just gone back home with the draft of the solution with me and I haven't scribbled the first equation yet and the fun is over!?? Anyway I'm not sure whether the direction is correct or not, so I will do the quiz very, very slowly because there isn't the need to catch the trend.
And sadly the broken high school maths textbook does not contain the generalised binomial theorem generated by Newton. What a shame... I'm skipping questions now and only deal with those whose technique is worthy of attention.