Mathematics
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OpenStudy (anonymous):
Need help with integral!! someone !!
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OpenStudy (anonymous):
Its the v) one
OpenStudy (agent0smith):
Type it with equation editor or post a clearer pic
hartnn (hartnn):
\(\Large \int \dfrac{\sec \theta \tan \theta d\theta }{(4+\sec \theta)^2} \)
hartnn (hartnn):
dd you try u = 4 + sec theta ?
OpenStudy (anonymous):
\[\int\limits_{?}^{?}\ \frac{ \sec \theta \tan \theta }{(4+\sec \theta)^2}\]
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OpenStudy (anonymous):
and yes but I got + instead of - in my answer....
OpenStudy (agent0smith):
tg is tangent...?? Since when...
OpenStudy (anonymous):
Don't know.. I think its weird too but it's my book so :s
hartnn (hartnn):
integral of x^(-2) dx will be -1/x +c
thats where - *minus* comes from
OpenStudy (anonymous):
I dont understand... :/
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hartnn (hartnn):
then show your work, how did you get that '+'
OpenStudy (anonymous):
I have all the good answer but I dont have the ''-''
hartnn (hartnn):
did u get
\(\Large \int \dfrac{1}{u^2}du\)
OpenStudy (anonymous):
yes I have this!!
hartnn (hartnn):
that = \(\dfrac{-1}{u}+c\)
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hartnn (hartnn):
right ?
hartnn (hartnn):
\(\int x^n dx = \dfrac{x^{n+1}}{n+1}+c\)
\(\int x^{-2} dx = \dfrac{x^{-2+1}}{-2+1}+c = \dfrac{-1}{x}+c\)
OpenStudy (anonymous):
ohhhhh I see
OpenStudy (anonymous):
I understand now!!
OpenStudy (anonymous):
thank you :)))
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hartnn (hartnn):
welcome ^_^