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OpenStudy (ggrree):
Integral of tan^2(x)sec(x)
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OpenStudy (bahrom7893):
u is Sec(x)!!!!
OpenStudy (bahrom7893):
du is tan^2(x) dx.. the rest is for myin.
OpenStudy (turingtest):
not quite bahrom
myininaya (myininaya):
\[\int\limits_{}^{}\tan(x) \cdot \tan(x) \sec(x) dx=\tan(x) \cdot \sec(x)-\int\limits_{}^{}\sec^2(x) \cdot \sec(x) dx\]
OpenStudy (bahrom7893):
oh wait lol i got it the other way around hahaha
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myininaya (myininaya):
And you can look at the integral sec^3(x) and use integration by parts there
myininaya (myininaya):
oh wait i didn't need to do what i did
myininaya (myininaya):
\[\int\limits_{}^{}(\sec^2(x)-1)\sec(x) dx=\int\limits_{}^{}\sec^3(x) dx-\int\limits_{}^{}\sec(x) dx\]
OpenStudy (turingtest):
that person is leaving, just so you know
they told me on another post
myininaya (myininaya):
\[\int\limits_{}^{}\sec^3(x) dx=\int\limits_{}^{}\sec^2(x) \sec(x)dx=\tan(x) \sec(x)-\int\limits_{}^{}\tan(x) \sec(x) \tan(x) dx\]
\[\tan(x) \sec(x)-\int\limits_{}^{}(\sec^2(x)-1) \sec(x) dx\]
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myininaya (myininaya):
:(
OpenStudy (turingtest):
I was doing problems with them for quite a while, but don't worry
pretty sure they got what you were saying
myininaya (myininaya):
yay i think there is enough info here
OpenStudy (ggrree):
thanks to all of you! I got it now.
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