anonymous
  • anonymous
hard integral: http://puu.sh/23Ps6
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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hartnn
  • hartnn
|dw:1361078522674:dw| do you see why i did that ?
anonymous
  • anonymous
isn't this 0.5*integral of dx/(sinx+cosx)?
anonymous
  • anonymous
@Joseph91 What do you do next?

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anonymous
  • anonymous
sorry error
hartnn
  • hartnn
|dw:1361079028915:dw| |dw:1361079065220:dw|you know the integral of cosec ???
hartnn
  • hartnn
also , did you get how its sin (x+pi/4) ??
anonymous
  • anonymous
yes and yes, thanks!
hartnn
  • hartnn
that was the hint we used, for your original question, |dw:1361079880505:dw|
anonymous
  • anonymous
thanks a lot, i got it! :D
hartnn
  • hartnn
welcome ^_^
anonymous
  • anonymous
I got \[\frac{1}{2\sqrt2}*\ln|\csc(2x+\pi/4)-\cot(2x+\pi/4)|\] can anyone check if it's the right answer?
hartnn
  • hartnn
yes, that seems correct.
anonymous
  • anonymous
i tried to integrate on wolfram alpha, it gives me something else. To check if they are equal, I plugged a number for x in both equations, but got different answer.. :O is that normal?
hartnn
  • hartnn
i think they will be equivalent, with just different form, which value you tried ?
anonymous
  • anonymous
x=-10
hartnn
  • hartnn
-10 what ? degrees or radians ?
anonymous
  • anonymous
degree
hartnn
  • hartnn
i checked, it comes out to be different. also i missed earlier that integral of cosec x is ln |cosec x + cot x|+c and you've typed - *minus*
hartnn
  • hartnn
but our method is correct, maybe it comes different because of the constant '+c' which might be different for both forms....
anonymous
  • anonymous
hey!!! i got it, if i calculate the \[\int\limits_{a}^{b}f(x)\] of both equations, it gives the same value if a and b are the same, so it's correct! Also thanks a lot for spending so much time on this, I really appreciate it!
hartnn
  • hartnn
oh, good! and welcome ^_^

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