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hartnn
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|dw:1361078522674:dw|
do you see why i did that ?
artofspeed
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isn't this 0.5*integral of dx/(sinx+cosx)?
artofspeed
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@Joseph91 What do you do next?
Joseph91
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sorry error
hartnn
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|dw:1361079028915:dw|
|dw:1361079065220:dw|you know the integral of cosec ???
hartnn
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also , did you get how its sin (x+pi/4) ??
artofspeed
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yes and yes, thanks!
hartnn
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that was the hint we used, for your original question,
|dw:1361079880505:dw|
artofspeed
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thanks a lot, i got it! :D
hartnn
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welcome ^_^
artofspeed
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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
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yes, that seems correct.
artofspeed
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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
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i think they will be equivalent, with just different form, which value you tried ?
artofspeed
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x=-10
hartnn
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-10 what ?
degrees or radians ?
artofspeed
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degree
hartnn
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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
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but our method is correct, maybe it comes different because of the constant '+c' which might be different for both forms....
artofspeed
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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
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oh, good!
and welcome ^_^