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int cos@ / sin^2@ d@ u = cosec^2@ du = - cot x dx int - root u du doesnt work out to what i want it to be... this is the second question on post bloody hard for question one

how do you diff sin^2 x , i got the answer, but dno how integration by parts seems long

thanks once again trebla, how do you know whether to use tanu , sinu or cos u

does anyone have the solutions to the 2009 paper, i've looked in search, google, bos everywhere... if anyone has it may you please post it up :drink: or otherwise please help with these 2 questions \int \frac {x^2}{1+4x^2}dx \ \ \ \ \ \ and \ \ \ \ \ \ \int_{1}^{\sqrt 3} \frac {1}{x^2 \sqrt...

wow nice question, even had partial fractions in there, great job shaono

ya 3 unknowns i got 2 equations, dno how to make the 3rd one (maybe integrate or differentiate the original). Ill try tmr, too tired now :(

b can be infinite ?

if the graph of the function y = ce^-bx has intercepts y(0) = 1 and y(1) = 0, show that y = [e^(b-bx) - 1)] / (e^b - 1) last question for the day :bomb:

what does this mean "dx/sqrt x" i don't quite understand the language d / dx = differentiate dx / d = integrate?

ZOMGOASFASDBASHFDB........... kept letting u = the top part >< didnt think letting u be on the bottom would get anything but i was wrong :<

wow thanks a lot didnt think of changing the indices i have another one, it made me rage quit cos i used so many ways and ended up nowhere.... \int \frac {e^{\sqrt x}}{\sqrt x}dx \\ looks\ so \ easy...\\ tried\ to\ find\ a\ one\ step\ formula\ for\ it\ LOL please help :D:):D

may god jet black answer my question please :shoot:

i dno what you do now actually xP gave it a go just thought of splitting the fraction, try simplify then tired ><

heres another question that you will have fun with mod :rolleyes: i haven't really tried this question, but looking at it, i know it will take me a while to figure out so im gna go do something else instead LOL thanks for your hard work once again ^^ \int \frac{e^x+1}{e^{x/2}+ e^{-x/2}}...

lol i got same answer as you :D got confused as the question says integrate between 1 and 0 but the ln0 part gives "maths error (cant remember what its called xD)" does not exist?? then i thought of anything times 0 gives zero so yeah thanks

haha we're both wrong, sub in calc help anyone?:hammer:

given that e^logx = x, what is 2^logx? e^logxlog2?? hence integrate 2^logx dno how to convert it properly...

oh damn thx..whats this called when you chuck it on the other side? does it have a name or is it just normal integration?

differentiate xe^x and hence integrate xe^x d/dx = e^x(1+x) now how do you integrate it without integration by parts? :uhoh:

oh yeah its an integration property with odd function :x i tried to solve it, was pretty lol xD thx