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Mathematics 21 Online
OpenStudy (anonymous):

Need help with integral!! someone !!

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):

\[\int\limits_{?}^{?}\ \frac{ \sec \theta \tan \theta }{(4+\sec \theta)^2}\]

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... :/

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 = \(\dfrac{-1}{u}+c\)

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 :)))

hartnn (hartnn):

welcome ^_^

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