Lol you're retarded
how the fuck is sin^2(x)/2 NOT the integral of sinxcosx?
you can get -0.5*cos^2 and 0.5*sin^2don't sweat it, you're right.
Quote from: rc on November 17, 2015, 02:11:50 PMhow the fuck is sin^2(x)/2 NOT the integral of sinxcosx? There are two correct answers. "Not always" doesn't mean "isn't".
Because sin^2x/2 is just sin^x
Quote from: RadioactiveTurkey on November 17, 2015, 02:42:12 PMQuote from: rc on November 17, 2015, 02:11:50 PMhow the fuck is sin^2(x)/2 NOT the integral of sinxcosx? There are two correct answers. "Not always" doesn't mean "isn't".also, if you evaluate it from 0 to 2pi (this is just part of a longer problem), you get 0, but it should be 3... it is 3 if you go the cosine route, but yeah.
Quote from: Ingloriouswho98 on November 17, 2015, 02:38:30 PMBecause sin^2x/2 is just sin^xwhat
Holy shit what the fuck are you guys doing?Rc asked for help, he gets help, but then these motherfuckers show up and start talking about how they used to do the same thing, and how the world has changed for them.What is with you people?
Quote from: rc on November 17, 2015, 02:42:41 PMQuote from: RadioactiveTurkey on November 17, 2015, 02:42:12 PMQuote from: rc on November 17, 2015, 02:11:50 PMhow the fuck is sin^2(x)/2 NOT the integral of sinxcosx? There are two correct answers. "Not always" doesn't mean "isn't".also, if you evaluate it from 0 to 2pi (this is just part of a longer problem), you get 0, but it should be 3... it is 3 if you go the cosine route, but yeah. Well your u/du substitution is correct so just use that. Wolfram sucks ass at trig calc. It's different based on which factor you use for u. .5sin^2(x) + C = -.5cos^2(x) + c, but their constants are not equal.
Holy shit what the fuck are you guys doing?Rc asked for help, he gets help, but then these motherfuckers show up and start talking about how they used to do the same thing, and how the world has changed for them.What is with you people?What I'm trying to say in my autistic ramblings is that your platitudes aren't doing anything for the thread, so you must be doing it for yourselves, which is fine in some threads, but this thread isn't a thread for discussion about personal experiences or whatever. This is a thread specifically about a certain math problem. also, 'mirin peoples' math skills.
Quote from: The Meta Madman Destyyy👌 on November 17, 2015, 03:45:16 PMHoly shit what the fuck are you guys doing?Rc asked for help, he gets help, but then these motherfuckers show up and start talking about how they used to do the same thing, and how the world has changed for them.What is with you people?What I'm trying to say in my autistic ramblings is that your platitudes aren't doing anything for the thread, so you must be doing it for yourselves, which is fine in some threads, but this thread isn't a thread for discussion about personal experiences or whatever. This is a thread specifically about a certain math problem. also, 'mirin peoples' math skills.Read the thread, people helped himGood God man read before you type a wall
Quote from: Val 'Ketamai on November 17, 2015, 03:57:26 PMQuote from: The Meta Madman Destyyy👌 on November 17, 2015, 03:45:16 PMHoly shit what the fuck are you guys doing?Rc asked for help, he gets help, but then these motherfuckers show up and start talking about how they used to do the same thing, and how the world has changed for them.What is with you people?What I'm trying to say in my autistic ramblings is that your platitudes aren't doing anything for the thread, so you must be doing it for yourselves, which is fine in some threads, but this thread isn't a thread for discussion about personal experiences or whatever. This is a thread specifically about a certain math problem. also, 'mirin peoples' math skills.Read the thread, people helped himGood God man read before you type a wallRead the reply, I wrote that people helped him.
Quote from: RadioactiveTurkey on November 17, 2015, 02:49:50 PMQuote from: rc on November 17, 2015, 02:42:41 PMQuote from: RadioactiveTurkey on November 17, 2015, 02:42:12 PMQuote from: rc on November 17, 2015, 02:11:50 PMhow the fuck is sin^2(x)/2 NOT the integral of sinxcosx? There are two correct answers. "Not always" doesn't mean "isn't".also, if you evaluate it from 0 to 2pi (this is just part of a longer problem), you get 0, but it should be 3... it is 3 if you go the cosine route, but yeah. Well your u/du substitution is correct so just use that. Wolfram sucks ass at trig calc. It's different based on which factor you use for u. .5sin^2(x) + C = -.5cos^2(x) + c, but their constants are not equal.Why do I get two different answers when I evaluate it though? I just wanna understand what went wrong. Because my understanding is that the constant doesn't matter when you're solving a definite integral.
http://www.wolframalpha.com/input/?i=is+integral+of+sintcost+%3D%3D+-.5cos%5E2thttp://www.wolframalpha.com/input/?i=is+integral+of+sintcost+%3D%3D+.5sin%5E2thow the fuck is sin^2(x)/2 NOT the integral of sinxcosx? here's how i got sin^2(x)/2integral(sinxcosxdx)u=sinxdu=cosxdxintegral(udu) = (u^2)/2sin^2(x)/2 + cTHIS IS FUCKING CORRECT WHY IS IT NOT
Desty is why I'm an anti-vaxer.
Quote from: rc on November 17, 2015, 02:11:50 PMhttp://www.wolframalpha.com/input/?i=is+integral+of+sintcost+%3D%3D+-.5cos%5E2thttp://www.wolframalpha.com/input/?i=is+integral+of+sintcost+%3D%3D+.5sin%5E2thow the fuck is sin^2(x)/2 NOT the integral of sinxcosx? here's how i got sin^2(x)/2integral(sinxcosxdx)u=sinxdu=cosxdxintegral(udu) = (u^2)/2sin^2(x)/2 + cTHIS IS FUCKING CORRECT WHY IS IT NOTthe integral of sinxcosxdx isn't sin^2(x)/2it's sin^2(x)/2 + Csin^2(x) + cos^(x) = 1sin^2(x) = 1 - cos^2(x)sin^2(x)/2 = .5 - cos^2(x)/2sin^2(x)/2 + C is equivalent to -cos^2(x)/2 + C